Question 213082: sherry spent the amount of money at the grocery store as she did at drug store. At the grocery store , she spent $3.40 on steak , $1.19 on bread and bought apples that cost $0.15 each. at the drug store , she spent $4.99 on shampoo and bought pencils that cost $0.10 each. how many pencils and how many apples did sherry buy?
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! Let a = # apples,,,,and p=# pencils
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$ @ Grocery = 3.40 +1.19 +.15a = 4.59 + .15a
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$@ Drug Store = 4.99 + .10 p
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but amounts are equal
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4.59 + .15 a = 4.99 + .10p
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.15a - .10 p = .40,,,,,,,mult by 10
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15a -10p = 40,,,,,divide by 5
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3a -2p =8,,,,, this is one eqn for two unknown
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Lets examine potential answers
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#a,,,,,#p,,,,,,,,,,,,,,,,,,,,,,,,,,,#p,,,,,#a
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0,,,,,,-4,,,,,,,,,,,,,,,,,,,,,,,,,,,,0,,,,,,,8/3
1,,,,,,-2.5,,,,,,,,,,,,,,,,,,,,,,,,,,1,,,,,,,,10/3
2,,,,,,-1,,,,,,,,,,,,,,,,,,,,,,,,,,,,2,,,,,,,,4,,,,,,1st practical answer
3,,,,,,1/2
4,,,,,,,2,,,,,,1st practical answer
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therefore we can say that we must buy at least 4 apples,and 2 pencils
in the ratio 2 apples for each 4 pencils
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. check,, 4.99 + .10(2) = 4.59 + .15(4) = 5.19,,,0k
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