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marissa [1.9K]
3 years ago
13

In a college parking lot, the number of ordinary cars is larger than the number of sport utility vehicles by 59.3%. The differen

ce between the number of cars and the number of SUVs is 16. Find the number of SUVs in the lot.
Mathematics
1 answer:
frutty [35]3 years ago
4 0

Answer:

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.

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

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

x  = 1.593y

<u>"The difference between the number of cars and the number of SUVs is 16" - </u>

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

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

<em>x - y = 16</em>

<em>1.593y - y = 16</em>

<em>0.593y = 16</em>

<em>y = 27 (rounded)</em>

<em />

<em>Hence, there are 27 SUVs</em>

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