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
10 shorts
10 shorts
40 shorts
40 shorts
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The correct answer is 30 shorts.
To find out how many shorts are available for sale, we can use the ratio given. The ratio of pants to shorts is 4:3. This means that for every 4 units of pants, there are 3 units of shorts.
In the image, we see a total of 70 pants and shorts in the combined set. The bracket on the right side encompasses both sets and points to the number 70.
Since the ratio is 4:3, we can divide the total number of units (70) into 7 equal parts. Each part represents 1 unit.
Therefore, 3 units represent the number of shorts.
So, the number of shorts available for sale is 3 x 10 = 30 shorts.
Thus, the correct answer is: 30 shorts.
To answer this question, we need to understand that the ratio of pants to shorts is 4:3.
Let's use the information given in the illustration. We see a set of three adjacent boxes labeled as Shorts and another set of four adjacent rectangles labeled as Pants. We are also told that the total number of pants and shorts available for sale is 70.
Since the ratio is 4:3, we can think of the total number of boxes as being divided into 4 parts for pants and 3 parts for shorts. Each part represents the same quantity.
In this illustration, we have a total of 7 parts (4 for pants and 3 for shorts). We can think of the 7 parts as representing the total number of rectangles/boxes shown in the illustration.
So, each part represents 70/7 rectangles/boxes.
To find the number of shorts, we need to find 3 parts out of 7.
Therefore, the number of shorts is 3 x (70/7) = 30 shorts.
So, the correct answer is 30 shorts.