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

Answer 1

To find out how many shorts are in the clothing store, we first need to set up the relationship based on the given ratio of pants to shorts, which is 4:3.

Let the number of pants be \( 4x \) and the number of shorts be \( 3x \). The total number of pants and shorts combined is given as 70.

So we can set up the equation:

\[ 4x + 3x = 70 \]

This simplifies to:

\[ 7x = 70 \]

Now, we solve for \( x \):

\[ x = \frac{70}{7} = 10 \]

Now we can find the number of shorts, which is \( 3x \):

\[ 3x = 3 \times 10 = 30 \]

Therefore, there are 30 shorts in the store.