Question

A parking lot has 63 empty space. If the ratio of empty space to taken spaces is 7:4, how many spaces are there total

Answer 1

Answer:

99

Step-by-step explanation:

let total spaces=x

sum of ratio=7+4=11

$\frac{11}{7} =\frac{x}{63} \\x=\frac{11}{7} \times 63=99$

Answer 2

First, find how many actual empty spaces there are to the ratio of empty spaces. (In other words, divide 63 by 7)

63 ÷ 7 = 9

Now that we know for that there are 9 sets of 7 in 63, multiply 4 by 9 to find the amount of taken parking spaces.

4 × 9 = 36

The unsimplified ratio of empty spaces to take spaces is 63:36. Add these two numbers together to find the total number of spaces.

63 + 36 = 99

Answer:

There are 99 total parking spaces.

I hope this helps :)