randRange( 10, 150 ) randRange( 50, 999 ) round(YEAR_THIS * 10000 / (100 + YEAR_PERCENT_MORE)) / 100

person(1) has YEAR_PERCENT_MORE% more money today than he(1) did this time last year. If person(1) has $YEAR_THIS today, how much money did he(1) make over this past year? (Round to the nearest cent, or hundredth of a dollar.)

round((YEAR_THIS - YEAR_LAST) * 100) / 100

Let x be the amount of money that he(1) had last year.

x + YEAR_PERCENT_MORE / 100x = $YEAR_THIS

(100 + YEAR_PERCENT_MORE) / 100x = $YEAR_THIS

x = \dfrac{$YEAR_THIS}{(100 + YEAR_PERCENT_MORE) / 100}

x = $YEAR_LAST (rounding to the nearest penny in this step)

So, he(1) had $YEAR_LAST last year, but we want to know how much he(1) has made over the past year!

\text{money made over the past year} = \qquad \text{amount of money today} - \text{amount of money last year}

\qquad =$YEAR_THIS-$YEAR_LAST

\qquad \approx $round((YEAR_THIS - YEAR_LAST) * 100) / 100

So, the answer is $round((YEAR_THIS - YEAR_LAST) * 100) / 100.

randRange( 10, 25 ) randRange( 5, 100 ) round(DOLLARS * 100 * 100 / (100 - PERCENT_OFF)) / 100

person(1) has $DOLLARS to spend at a store. The store currently has a sale where the sale price is PERCENT_OFF% off the marked price. What is the highest marked price that person(1) can afford? (Round to the nearest cent, or hundredth of a dollar.)

HIGHEST_PRICE

Let x be the highest marked price that person(1) can afford.

x-(PERCENT_OFF/100)x = \text{sale price} = \text{amount person( 1 ) has to spend}

((100-PERCENT_OFF)/100)x = $DOLLARS

x = $HIGHEST_PRICE