The picture shows the number of colored shirts sold this week at Joan’s Clothing Shop. Joan assumes this trend will continue. She is going to put in an order for 500 colored shirts. How many of these should she order in orange?

She should order 96 orange shirts  

Step-by-step explanation:

The picture is shown below.

From the picture below Joan sold 10 blue shirts, 3 gray shirts , 5 orange shirts and 8 green shirts out of the colored Shirts. The ratio of the colored shirt sold are 10 : 3 : 5 : 8 . The total shirt sold that week is 10 + 3 + 5 + 8 = 26 colored shirts.

If she assumes the trend is going to continue the number of orange she should order can be calculated below.

Let us find the ratio of orange shirt sold to the total colored shirt sold.

orange shirt sold / total colored shirt sold  = 5/26

This means every group of 26 colored shirts sold will have 5 orange shirt . So they told us she requested a total of 500 colored shirts . Following the same trend, how many group of 26 colored shirt are in 500.  

5/26 = x/ 500

cross multiply

2500 = 26x

divide both sides by 26

x = 2500/26

x = 96.15

x = 96 orange shirts

She should order 96 orange shirts  

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get