Jonathan's scout troop tie-dyed sweatshirts and T-shirts last year for a fundraiser. For every 20 sweatshirts, they dyed 30 T-shirts. This year, Jonathan's scout troop will keep the same ratio of sweatshirts to T-shirts. They plan to tie-dye 60 sweatshirts.

Question

How many T-shirts will Jonathan's scout troop dye this year?

Answer 1

To find out how many T-shirts Jonathan's scout troop will dye this year, we start with the ratio of sweatshirts to T-shirts that they maintained last year. The ratio is given as:

\[ \text{Sweatshirts} : \text{T-shirts} = 20 : 30 \]

To simplify this ratio, we can divide both numbers by 10:

\[ 2 : 3 \]

This means that for every 2 sweatshirts, they tie-dye 3 T-shirts.

Now, this year, they are planning to dye 60 sweatshirts. To find the number of T-shirts to dye while maintaining the same ratio, we can set up a proportion based on the simplified ratio:

\[ \frac{2 \text{ sweatshirts}}{3 \text{ T-shirts}} = \frac{60 \text{ sweatshirts}}{x \text{ T-shirts}} \]

Here, \( x \) represents the number of T-shirts we want to find. We cross-multiply to solve for \( x \):

\[ 2x = 3 \times 60 \]

Calculating the right side:

\[ 2x = 180 \]

Now, divide both sides by 2 to solve for \( x \):

\[ x = \frac{180}{2} = 90 \]

Thus, the number of T-shirts Jonathan's scout troop will dye this year is:

\[ \boxed{90} \]