You need to buy three office chairs for your new office. The furniture store sells them at a discount of four chairs for $189. How much would you pay for three chairs?

1 Answer
Apr 19, 2016

$141.75

Explanation:

Create a proportion!

We know that four chairs is worth $189 and we can also assume that each chair is worth the same price. So we can use a proportion to find the value for three chairs.

#color{green}{text{Chairs}/text{Price}}#

This can be alternated into price/chairs, although the order in which you place the number of chairs and price does not particularly matter. But you must remember to keep the placement the same for both fractions. For example, if in the numerator you had the number of chairs and in the denominator, the price, then in the other fraction of the proportion you must have the number of chairs in the numerator and the price in the denominator.

#4/($189) = 3/x#
where #x# = the price for three chairs

Cross multiply and solve for #x#:
4(x) = 189(3)
4x = 567
x = $141.75