SOLUTION: 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

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
.
$ @ Grocery = 3.40 +1.19 +.15a = 4.59 + .15a
.
$@ Drug Store = 4.99 + .10 p
.
but amounts are equal
.
4.59 + .15 a = 4.99 + .10p
.
.15a - .10 p = .40,,,,,,,mult by 10
.
15a -10p = 40,,,,,divide by 5
.
3a -2p =8,,,,, this is one eqn for two unknown
.
Lets examine potential answers
.
#a,,,,,#p,,,,,,,,,,,,,,,,,,,,,,,,,,,#p,,,,,#a
.
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
.
therefore we can say that we must buy at least 4 apples,and 2 pencils
in the ratio 2 apples for each 4 pencils
.
. check,, 4.99 + .10(2) = 4.59 + .15(4) = 5.19,,,0k

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