Melissa bought a new car with 12 optional features to the car. Each optional feature costs either $23.99 or $120.84. If she paid $675.28 for all the optional features, how many of each type did she buy? Write and solve an equation to solve this problem. Show all your work.

Question

Dalia Daugherty

Mathematics

27 February, 23:47

Melissa bought a new car with 12 optional features to the car. Each optional feature costs either $23.99 or $120.84. If she paid $675.28 for all the optional features, how many of each type did she buy? Write and solve an equation to solve this problem. Show all your work.

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Answers (1)

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Cruella · Answer 1

Fetures are x and y

x+y=12

23.99x+120.84y=675.28

x+y=12

multiply by - 23.99 and add to other equation

-23.99x-23.99y=-287.88

23.99x+120.84y=675.28 +

0x+96.85y=387.4

96.85y=387.4

divde both sides by 96.85

y=4

sub back

x+y=12

x+4=12

minus 4

x=8

8 of the features costing $23.99

4 of the features costing $120.84