The Miller family visited Mama's Kitchen and ordered 4 hamburgers and 3 medium fries and paid $15.24. James ordered a medium drink, a hamburger, and 2 medium fries and paid $6.53. Steven ordered 2 hamburgers, medium fries, and a medium drink for $8.17. How much did each item cost?

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26-06-2017
Mathematics

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The Miller family visited Mama's Kitchen and ordered 4 hamburgers and 3 medium fries and paid $15.24. James ordered a medium drink, a hamburger, and 2 medium fries and paid $6.53. Steven ordered 2 hamburgers, medium fries, and a medium drink for $8.17. How much did each item cost?

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texaschic101 texaschic101 · Answer 1 · 2017-06-26T04:09:28+02:00

4h + 3f = 15.24
h + 2f + d = 6.53
2h + f + d = 8.17

h + 2f + d = 6.53....multiply by -1
2h + f + d = 8.17
-------------------
-h - 2f - d = - 6.53 (result of multiplying by -1
2h + f + d = 8.17
--------------------add
h - f = 1.64

h - f = 1.64...multiply by -4
4h + 3f = 15.24
--------------------
-4h + 4f = - 6.56 (result of multiplying by -4
4h + 3f = 15.24
-------------------add
7f = 8.68
f = 8.68/7
f = 1.24 <====fries cost 1.24

h - f = 1.64
h - 1.24 = 1.64
h = 1.64 + 1.24
h = 2.88 <==== hamburgers cost 2.88

h + 2f + d = 6.53
2.88 + 2(1.24) + d = 6.53
2.88 + 2.48 + d = 6.53
5.36 + d = 6.53
d = 6.53 - 5.36
d = 1.17 <=== 1.17 for the drinks