The math club must order 35 new uniform shirts. There are 5 more girls than twice the number of boys in the club. How many of each uniform type should the club order

The math club needs 25 uniforms for girls and 10 uniforms for boys.

Explanation:

To solve this problem we must follow every step of the statement

We raise each of the incognites:

B = boys

G = girls

The first equation:

B + G = 35

And the second equation; using the expression "there are 5 more girls than twice the number of boys in the club".

G = 2*B + 5

Now we replace in the first equation:

B + (2*B+5) = 35

B + 2*B  + 5 = 35

3*B = 30

B = 10

and

G = 35 - 10

G = 25

Therefore, the math club needs 25 uniforms for girls and 10 uniforms for boys