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What is the greatest number of outfits Fabian can buy?

11/29/2023

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Fabian has $700 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.  He buys a new bicycle for $387.10.  He buys 3 bicycle reflectors for $4.43 each and a pair of bike gloves for $12.36.  He plans to spend some or all of the money he has left to buy new biking outfits for $45.81 each.  What is the greatest number of outfits Fabian can buy with the money that's left over?

x = the amount of money left over

Subtract the amount of money spent from 700 to get the amount of money left over.


x = 700 - [387.1 + 3(4.43) + 12.36] {subtracted the money spent from $700}
x = 700 - (387.1 + 13.29 + 12.36)  {multiplied 3 by 4.43}
x = 700 - 412.75  {added inside parentheses}
x = 287.25  {subtracted}

Divide the amount of money left over by the cost of each outfit, to get the number of outfits Fabian can buy.


287.25 ÷ 45.81  {divided money left over by cost of each outfit}
≈ 6.27  {divided and rounded}

Fabian can buy, at most, 6 outfits.

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