Question

the ratio of drummers to guitar player who tried out for a band is 35:14. If there are 56 guitar players, how many drummers are there

Answer 1

140 drummers

Explanation:

Let
D = number of drummers
G = number of guitarists

We are given ratio of drummers to guitar players is 35:14

So

`(D)/(G)= (35)/(14)\\\\`

We are also given G = 56

Therefore

`(D)/(56) = (35)/(14)`

Multiplying both sides by 56 gets rid of the denominator:

`(D)/(56) * 56 = (35)/(14) * 56\\\\\\\begin{aligned}\\D & = 35 * 4 \\D & = 140\\\end{aligned}`

Therefore there are 140 drummers