A woman went marketing for sugar for canning. In one store, sugar was 8 1/2¢ per pound and she found that she lacked 30¢ of having enough money to buy the number of pounds she needed. She bought the required amount of sugar at another store for 8¢ per pound, and had 45¢ left. How much money did she have before making the purchase?

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Mathematics

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17 August, 09:32

A woman went marketing for sugar for canning. In one store, sugar was 8 1/2¢ per pound and she found that she lacked 30¢ of having enough money to buy the number of pounds she needed. She bought the required amount of sugar at another store for 8¢ per pound, and had 45¢ left. How much money did she have before making the purchase?

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Answers (1)

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Jayden Roberts · Answer 1

X=amount of money woman has

n=pounds of sugar

Store #1: 8.5*n=x+30

Store #2: 8*n=x-25

multiply #2 by 17/16 to make coefficient of n same as in #1

2: 8.5*n=17/16 (x-25)

Subtract #2 from #1

0=x+30-17/16 (x-25)

x+30-17x/16 + 25*17/16

x/16=30+25*17/16

x=480+425

=905 cents

=$9.05