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Ian’s monthly allowance is $21. In January he starts saving for a birthday gift in June. Each month he saves 2/3 of his allowance. The gift he wants to buy costs $110. Will Ian have enough money? Explain.

Ian’s monthly allowance is $21. In January he starts saving for a birthday gift in-example-1

1 Answer

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He starts saving $ in January to buy a gift in June. (which is 6 months, or 5 months not including June)

Each month he saves 2/3 of his allowance, which is $14.

[his allowance each month is $21, 2/3 of his allowance is $14]

(you multiply 21 by 2/3 = 42/3 = 14)

The gift he wants to buy is $110


x = the number of months

y = total cost


14x = y

14x = 110 [he saves $14 each month, he wants to have a total of $110 to buy a gift]


Plug in 6 for x in the equation

14(6) = 110

84 = 110 (He is $26 short, so saving either for 5 or 6 months will not get Ian $110)


Ian will not have enough money because he is $26 short for 6 months or $40 short for 5 months. (you can decide whether you want to go by 5 months or 6(including June), sorry for the confusing answer)

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