Question

The ratio of cars to van in a car park is 7:3.After six more cars enter the car park, the ratio of cars to vans changes to 3:1.Work out the total number of cars and vans in the car park initially.

Answer 1

Answer:

Cars 21

Vans 9

Step-by-step explanation:

Let no. of cars = C, no. of vans = V

C 7

_ = _

V 3

V = 3/7 × C

C+6 3

___ = _

V 1

C+6 = 3V

substitute V

C+6 = 3 × 3/7×C

7C + 42 = 9C

2C= 42

C = 21

V= 9