In a typical start for his baseball team, Rick throws 120 total pitches with a ratio of 3 fastballs thrown for every 2 curveballs. If Rick makes a relief appearance of 30 pitches using the same ratio, how many fastballs will he throw in the relief appearance?

Respuesta :

Answer:

18 fastballs

Step-by-step explanation:

Let x represent each throw

fastball : curve ball = 3:2

For fastball we have 3x while for curve ball we have 2x

If Rick makes a relief appearance of 30 pitches with the same ratio,

3x + 2x = 30

5x = 30

x = 30/5

x = 6

fastball, 3x= 3*6

= 18

curveball = 2x = 2*6

= 12

Rick will throw 18 fast balls