Question

the school store sells hats and t-shirts. there are four times as many t-shirts as hats in the store today. there are 54 more t-shirts than hats. how many hats and t-shirts are in the store today

Answer 1

There are 18 hats and 72 t-shirts.

Explanation:

Let t = number of t-shirts and h = number of hats.

There are four times the number of t-Shirts than hats so hats times four equal the number of t-shirts:

t = 4h

There are 54 more t-shirts than hats:

t = h + 54

You can set the equations equal to each other and solve for t:

4h = h + 54

3h = 54

h = 18, the number of hats.

By substitution:

t = 4h

t = 4(18) = 72, the number of t-shirts.

Proof #1:

t = h + 54

72 = 18 + 54

72 = 72

And Proof #2:

t = 4h = 4(18) = 72

Hope this helps! Have an Awesome Day!! :-)

Answer 2

There are 14 hats in the store and 74 t-shirts