In a college parking lot, the number of ordinary cars is larger than the number of sport utility vehicles by 59.3%. The difference between the number of cars and the number of SUVs is 16. Find the number of SUVs in the lot.

Question

Mathematics

Kamila Cordova

19 November, 15:57

In a college parking lot, the number of ordinary cars is larger than the number of sport utility vehicles by 59.3%. The difference between the number of cars and the number of SUVs is 16. Find the number of SUVs in the lot.

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Answers (1)

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Anne Harris · Answer 1

27 SUVs

Step-by-step explanation:

Let number of ordinary cars be x and SUVs be y

We can write 2 equations and use substitution to solve for the number of SUVs.

"The number of ordinary cars is larger than the number of sport utility vehicles by 59.3%"-

This means that 1.593 times more is ordinary cars (x) than SUVs (y), so we can write:

x = 1.593y

"The difference between the number of cars and the number of SUVs is 16" -

Since we know ordinary cars are "more", we can say x - y = 16

We can now plug in 1.593 y into x of the 2nd equation and solve for y:

x - y = 16

1.593y - y = 16

0.593y = 16

y = 27 (rounded)

Hence, there are 27 SUVs