Agatha has a weekly allowance that she spends on candy bars and fidget toys. She can just afford four fidgets and three candy bars with all of her money. She can also just afford nine candy bars and two fidgets. The price of a candy bar is $2.40. What is Agatha's weekly allowance

Respuesta :

Agatha's weekly allowance is 36.

What is the cost of the fidgets?

If she can afford to purchase both four fidgets and three candy bars and  nine candy bars and two fidgets, it means that the cost of both options are the same.

4f + 3c = 2f + 9c

Where:

f = cost of one fidget

c = cost of one candy bar

4f + 3(2.40) = 2f + 9(2.40)

4f + 7.2 = 2f + 21.6

4f - 2f = 21.6 - 7.2

2f = 14.4

f = 14.4 / 2

f = $7.20

What is Agatha's weekly allowance?

Weekly allowance = 4f + 3c

4(7.2) + 3(2.4)

28.8 + 7.2 = $36

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