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A store is having a sale on almonds and jelly beans. For 5 pounds of almonds and 6 pounds of jelly beans, the total cost is $24. For 3 pounds of almonds and 2 pounds of jelly beans, the total cost is $10 . Find the cost for each pound of almonds and each pound of jelly beans.

Sagot :

Answer:

x = $1.5, y = $2.75

Step-by-step explanation:

5x + 6y = 24

3x + 2y = 10

Solve for y

2y = 10 - 3x

y = 5 - 3/2x

Plug y into first equation

5x + 6y = 24

5x + 30 - 9x = 24

-4x = -6

x = $1.5

y = $2.75