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Margarita [4]
3 years ago
12

A store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 6 pounds of jelly beans, the total cost is

$35. For 3 pounds of trail mix and 2 pounds of jelly beans, the total cost is $15 . Find the cost for each pound of trail mix and each pound of jelly beans.
Mathematics
1 answer:
nordsb [41]3 years ago
4 0

Answer:

t = 2.5 \\ j = 3.75

Step-by-step explanation:

5t + 6j = 35 \\ 3t + 2j = 15  =  > 2j = 15 - 3t \\  \\ 5t + 3(15 - 3t) = 35 \\ 5t + 45 - 9t = 35 \\  - 4t + 45 = 35 \\  - 4t  =  - 10 \\ 4t = 10 \\ t = 2.5 \\  \\ 3(2.5) + 2j = 15 \\ 7.5 + 2j = 15 \\ 2j = 7.5 \\ j = 3.75

Check:

5t + 6j = 35 \\5(2.5) + 6(3.75) = 35 \\ 12.5 + 22.5 = 35 \\ 35 = 35 \\  \\  3t + 2j = 15 \\ 3(2.5) + 2(3.75) = 15 \\ 7.5 + 7.5 = 15 \\ 15 = 15

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