Mrs. Kelly bought some fruit at 90 cents per pound. If the price has been 15 cents less per pound, she would have been able to buy 4 more pounds with the same amount of money. How much money did she spend?Math smarter than a 5th grader worksheet
Let weight, in pounds, of fruit purchased be W
As purchase price was 90c per lb, cost of fruit was: 90W
If cost per pound was 15c less, then price, per lb would've been: 90 - 15, or 75c
At reduced price, she would've have been able to buy 4 more lbs, or a total of (W + 4) lbs
Price she'd then pay, at reduced price = 75(W + 4), or 75W + 300
Since she'd spend the same amount of money, we now get: Original cost of fruit = reduced cost of fruit, OR
90W = 75W + 300
90W - 75W = 300 -------- Subtracting 75W from right-side of equation
15W = 300
W, or weight of fruit she purchased = , or 20 lbs
Money she spent or cost of fruit: 20(90c), or 1,800 cents, or