Mathematics
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17

A manager purchased a total of 21 coffee mugs and key chains. each coffee mug cost $8.50, and each key chain cost $2.75 . if manager spent total of $132.50, how many coffee mugs did the manager purchase please help solve this

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(1) Answers
scallison

Let m be the coffee mugs and k be the key chains. m + k = 21 8.50m + 2.75k = 132.50 Use the first equation to solve for k and substitute it into the 2nd equation. k = 21 - m 8.50m + 2.75(21 - m) = 132.50 8.50m + 57.75 - 2.75m = 132.50 5.75m + 57.75 = 132.50 5.75m = 74.75 m = 13 Prove it 8.50m + 2.75k = 132.50 8.50(13) + 2.75(8) = 132.50 132.50 = 132.50 True Answer: 13 coffee mugs

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