Question 966251: 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
Found 2 solutions by lwsshak3, MathTherapy:
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! 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.
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let x=dollars Mrs Kelly spent
.90x-.75x=.75*.90*4
.15x=2.70
x=18
check:
18/.90=20 (number of apples bought at 90ç/lb)
18/.75=24(number of apples bought at 75ç/lb)
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website!
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 
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