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3 years ago

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The Johnson family pays $19.75 at the game for 3 ice cream cones and 4 funnel cakes. The Duke family pays $35.25 at the same gam

e for 5 ice cream cones and 8 funnel cakes. How much does a funnel cake cost? How much does an ice cream cone cost?

1 answer:

postnew [5]3 years ago

7 0

Answer:

$1.75 cost of the funnel cake and $4.25 cost of the ice cream cone.

Step-by-step explanation:

x = cost of the ice cone cone

y = cost of the funnel cake

3x + 4y = 19.75 multiply (-2) ⇔ -6x - 8y = -39.50

5x + 8y = 35.25 do not change ⇔ +<u> 5x + 8y = 35.25</u>

-x = -4.25

x = 4.25 cost of the ice cream cone

Substitute into the second equation x = 4.25 and solve for y

5(4.25) + 8y = 35.25

21.25 + 8y = 35.25

8y = 14

y = 1.75 cost of the funnel cake

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Step-by-step explanation:

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