Question

x indicates the number of rounds and y indicates the total charges. The charges for the two types of bicycles are given below. Find the total charges (in $) if both centers charge the same amount.

• A. 120

Answer 1

The correct option is A 120
Given

Also, x indicates rounds and y indicates total charge.

For normal bicycle,

y = 45 + 15x-----(1)

For gear bicycle

y = 60 + 12x-----(2)

Equate both the equations (1) and (2) since both charge equal amount.

$⟹$ 45 + 15x = 60 + 12x

$⟹$ 15x - 12x = 60 - 45

$⟹$ 3x = 15

$⟹\text{x}=\frac{15}{3}$

$⟹$x = 5

Substitute the value of x in equation (1), we get:

$⟹$ y = 45 + 15(5)

$⟹$ y = 45 + 75

$⟹$ y = $\$$120

$\therefore$ The total charge is $\$$120.