11

# The diameter of a small gear is 16 cm. This is 2.5 cm more than 1/4 of the diameter of a larger gear. What is the diameter of the larger gear

In this problem we are trying to solve the diameter of the larger gear. I don't really understand the problem and I need help now!

### 3 Answers by Expert Tutors

Mohammed R. | Specialist in GED and College Prep MathSpecialist in GED and College Prep Math
9
Let,
Diameter of the larger gear х
So the equation for the problem is,
1/4х + 2.5 = 16
1/4х = 16 - 2.5
1/4x = 13.5
x = 13.5*4
x = 54
Hence, the diameter of the larger gear is 54 cm

this helped me!
David W. | Experienced ProfExperienced Prof
4.4 4.4 (47 lesson ratings) (47)
-2
Restate the problem this way:

"16 cm .. is 2.5 cm more than 1/4 x"      [where x = diameter of the larger gear]
16         =  2.5          +         (1/4)x

13.5 = (1/4)x              [subtract 2.5 from both sides]
54 = x                     [multiply both sides by 4]

The diameter of the large gear is 54 cm.
Mark M. | Mathematics Teacher - NCLB Highly QualifiedMathematics Teacher - NCLB Highly Qualif...
4.9 4.9 (188 lesson ratings) (188)
-2
d represents the diameter of the large gear.
Translate the English:
This (16cm) is 2.5cm more than 1/4 of the larger
16        =  2.5        +          0.25 d

Can you solve for d?