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SSSSS [86.1K]
4 years ago
10

A tennis coach took his team out for lunch and bought eight hamburgers and five fries for $24 the players were still hungry so t

he coach bought six more hamburgers and two more fries for 1660 find a cost for one hamburger
Mathematics
1 answer:
andrezito [222]4 years ago
3 0

Answer: The cost for one hamburger is $2.5

Step-by-step explanation:

Let x represent the cost of one hamburger.

Let y represent the cost of one fry.

The tennis coach took his team out for lunch and bought eight hamburgers and five fries for $24. This means that

8x + 5y = 24- - - - - - - - - - - -1

The players were still hungry so the coach bought six more hamburgers and two more fries for 16.60. It means that

6x + 2y = 16.6- - - - - - - - - - 2

Multiplying equation 1 by 6 and equation 2 by 8, it becomes

48x + 30y = 144

48x + 16y = 132.8

Subtracting, it becomes

14y = 11.2

y = 11.2/14

y = 0.8

Substituting y = 0.8 into equation 1, it becomes

8x + 5 × 0.8 = 24

8x + 4 = 24

8x = 24 - 4 = 20

x = 20/8

x = 2.5

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