{Before skateboarding camp `person( 1 )` knew how to do|`person( 1 )` already knows how to do} `Q` skateboarding tricks. {`person( 1 )` hopes to one day be able to do `randRange( 25, 50 )` tricks. |}{Every week, `person( 1 )` will be taught `P` tricks.|At skateboarding camp, `person( 1 )` will learn `P` tricks per week.}

If `person( 1 )` spends `X` weeks at camp, how many skateboarding tricks will `he( 1 )` know at the end of camp?

Skateboarding tricks `he( 1 )` learns per week x Number of weeks at the camp + Skateboarding tricks `he( 1 )` already knows = Number of tricks known at the end of camp

Skateboarding tricks `he( 1 )` learns per week = `P`

Number of weeks at the camp = `X`

Skateboarding tricks `he( 1 )` already knows = `Q`

Number of tricks known at the end of camp = `r`

`P` \cdot `X` + `Q` = r

`P` \cdot `X` + `Q` = `R`

`person( 1 )` will know `R` tricks at the end of camp.

`person( 1 )` has run `plural( Q, "marathon" )`{ and {plans|has commited to} to run `P` marathons per year.|. `He( 1 )` {plans|is commited} to run `P` marathons per year.}{ `person( 1 )` has been training for `randRange(2, 3)` months for this upcoming commitment.|}

After `X` years, how many marathons will `person( 1 )` have run?

Number of marathons planned per year x Number of years + Number of marathons `he( 1 )` already ran = Total number of marathons

Number of marathons planned per year = `P`

Number of years = `X`

Number of marathons `he( 1 )` already ran = `Q`

Total number of marathons = `r`

`P` \cdot `X` + `Q` = r

`P` \cdot `X` + `Q` = `R`

`person( 1 )` will have run `R` marathons at the end of `X` years.

{`person( 1 )` has a coupon for shipping from Amazon.com|`person( 1 )` has decided to purchase some books from Amazon.com}. {No matter how much `he( 1 )` purchases, shipping will cost $`Q`.|Shipping is set at a flat-rate of $`Q`, regardless of the number of books purchased.}

If `person( 1 )` buys `X` books for $`P` each, how much will the total bill be (assuming no sales tax)?

Cost of each book x Number of books bought + Cost of shipping = Bill total

Cost of each book = `P`

Number of books bought = `X`

Cost of shipping = `Q`

Bill total = `r`

`P` \cdot `X` + `Q` = r

`P` \cdot `X` + `Q` = `R`

`person( 1 )` will spend $`R` on `his(1)` Amazon purchase.

{`Q` articles have been published by `person( 1 )` in *The New York Times*|`person( 1 )` has written `Q` articles for *The New York Times*}{ (`Q - randRange(2, 8)` of them in the last year)|}{. `He( 1 )` has a new contract| and `he( 1 )` has a new contract} to write `plural( P, "article" )` per month for the next `X` months.

At the end of `X` months, how many articles will `he( 1 )` have had published in *The New York Times*?

Number of articles to be written per month x Number of months writing articles + Number of articles already written = Total number of articles

Number of articles to be written per month = `P`

Number of months writing articles = `X`

Number of articles already written = `Q`

Total number of articles = `r`

`P` \cdot `X` + `Q` = r

`P` \cdot `X` + `Q` = `R`

`person( 1 )` will have written `R` articles at the end of `X` months.

{After practicing for `randRange( 2, 5 )` months, |}`person( 1 )` {has reached proficiency|is proficient} in `Q` exercises on Khan Academy.

If `person( 1 )` completes `P` exercises per week for the next `X` weeks, how many exercises will `he( 1 )` have completed in total?

Number of exercises to complete per week x Number of weeks completing exercises + Number of exercises already proficient in = Total number of exercises completed

Number of exercises to complete per week = `P`

Number of weeks completing exercises = `X`

Number of exercises already proficient in = `Q`

Total number of exercises completed = `r`

`P` \cdot `X` + `Q` = r

`P` \cdot `X` + `Q` = `R`

`person( 1 )` will have completed `R` exercises at the end of `X` weeks.

`person( 1 )` sells magazine subscriptions and earns $`P` for every new subscriber `he( 1 )` signs up. `person( 1 )` also earns a $`Q` weekly bonus regardless of how many magazine subscriptions `he( 1 )` sells.

If `person( 1 )` wants to earn more than $`R` this week, what is the minimum number of subscriptions `he( 1 )` needs to sell?

Dollars per subscription x Number of subscriptions sold + Weekly bonus > Minimum dollar amount to earn this week

Dollars per subscription = `P`

Weekly bonus = `Q`

Minimum dollar amount to earn this week = `R`

Number of subscriptions sold = `x`

`P`x + `Q` > `R`

`P`x > `R` - `Q`

`x > \dfrac{`

`R - Q`}{`P`}

`x > `

`X`

`person( 1 )` must sell at least `X` subscriptions this week.

For every level `person( 1 )` completes in `his( 1 )` favorite game, `he( 1 )` earns `P` points. At the end of each hour spent playing the game, `person( 1 )` earns a bonus of `Q`. Name already has `10 * randRange( 500 / 10, 5000 / 10 )` in the game and wants to earn more than `R` additional points in the next hour.

What is the minimum number of levels that `person( 1 )` needs to complete in the next hour to meet `his( 1 )` goal?

Points per level x Number of levels completed + Bonus points > Points goal

Points per level = `P`

Bonus points = `X`

Points goal = `R`

Number of levels completed = `x`

`P`x + `Q` > `R`

`P`x > `R` - `Q`

`x > \dfrac{`

`R - Q`}{`P`}

`x > `

`X`

`person( 1 )` needs to complete at least `X` levels in the next hour.

A bear named `person( 1 )` is preparing to hibernate for the winter. `he( 1 )` has already stored up `Q` units of energy and needs to store up at least `R` total units of energy before winter.

If there are `X` left before winter, what is the minimum units of energy the bear needs to store up per month?

Months left before winter x Units of energy stored per month + Units of energy already stored > Units of energy needed

Months left before winter = `X`

Units of energy already stored = `Q`

Units of energy needed = `R`

Units of energy stored per month = `p`

`X`p + `Q` > `R`

`X`p > `R` - `Q`

`p > \dfrac{`

`R - Q`}{`X`}

`p > `

`P`

`person( 1 )` needs to store up at least `P` units of energy before the winter.

To move up to the maestro level in `his( 1 )` piano school, `person( 1 )` needs to master at least `R` songs. `person( 1 )` has already mastered `Q` songs.

If `person( 1 )` can typically master `P` songs per month, what is the minimum amount of months it will take `him( 1 )` to move to the maestro level?

Songs to master per month x Number of months practicing + Songs already mastered > Songs needed for maestro level

Songs to master per month = `P`

Songs already mastered = `X`

Songs needed for maestro level = `R`

Number of months practicing = `x`

`P`x + `Q` > `R`

`P`x > `R` - `Q`

`x > \dfrac{`

`R - Q`}{`P`}

`x > `

`X`

**It will take person( 1 ) at least X months to move to the maestro level.**