5 of 55 of 5 Items
Question
Use the image to answer the question.
An illustration shows a set of three adjacent boxes labeled as Shorts. Another set of four adjacent rectangles is labeled as Pants and is placed below Shorts. All rectangles have the same dimensions. A bracket on the right side encompasses both sets and points to the number 70.
A clothing store has pants and shorts for sale in a ratio of 4:3. If there are a total of 70 pants and shorts available for sale, how many of those are shorts?
(1 point)
Responses
21 shorts
21 shorts
30 shorts
30 shorts
40 shorts
40 shorts
10 shorts
10 shorts
Skip to navigation
page 8 of 8
The correct answer is 30 shorts.
According to the ratio of 4:3, for every 4 pants, there are 3 shorts.
If there are a total of 70 pants and shorts, we can set up the following equation:
4x + 3x = 70
Combining like terms, we get:
7x = 70
Dividing both sides by 7, we get:
x = 10
So, for every increment of 10 in the ratio, there are 10 * 4 = 40 pants and 10 * 3 = 30 shorts.
Therefore, there are 30 shorts available for sale.
To find the number of shorts, we need to divide the total number of items (70) by the sum of the ratio's fractions (4+3=7).
70 divided by 7 equals 10.
Therefore, there are 10 shorts available for sale.