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Amy sold 10 packages of sugar cookies and 2 packages of oatmeal

cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of
oatmeal cookies for $60. What is the price of a pack of sugar cookies and a
pack of oatmeal cookies?

User Akhilless
by
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1 Answer

5 votes

Answer:

  • sugar cookies -- $4
  • oatmeal cookies -- $8

Explanation:

Using "s" and "o" to represent the prices of packs of sugar and oatmeal cookies, respectively, we can write the revenue equations as ...

10s +2o = 56

9s +3o = 60

In standard form (with common factors removed), these equations are ...

5s + o = 28

3s + o = 20

Subtracting the second equation from the first, we find ...

(5s +o) -(3s +o) = (28) -(20)

2s = 8 . . . . simplify

s = 4

Substituting into the first equation, we have ...

5·4 +o = 28

o = 8 . . . . . . subtract 20

The price of a pack of sugar cookies is $4; of oatmeal cookies, $8.

User Itiic
by
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