There are some cars and scooters. There are 6 more scooters than cars. The total number of car wheels is 10 more than the total number of scooter wheels.
- How many scooters are there?
- How many more cars are needed in order to get a total of 114 wheels?
| |
Cars |
Scooters |
More |
| Number |
1 u |
1 u + 6 |
|
| Value |
4 |
2 |
|
| Total value |
4 u |
2 u + 12 |
10 |
(a)
Number of cars = 1 u
Number of scooters = 1 u + 6
Number of car wheels
= 4 x 1 u
= 4 u
Number of scooter wheels
= 2 x (1 u + 6)
= 2 u + 12
Number of more car wheels than scooter wheels
= 4 u - (2 u + 12)
= 2 u - 12
2 u - 12 = 10
2 u = 10 + 12
2 u = 22
1 u = 22 ÷ 2 = 11
Number of scooters
= 1 u + 6
= 11 + 6
= 17
(b)
Total number of wheels
= 4 u + 2 u + 12
= 6 u + 12
= 6 x 11 + 12
= 66 + 12
= 78
Total number of wheels that belongs to the extra $(cars)
= 114 - 78
= 36
Number of more cars needed in order to get a total of 114 wheels
= 36 ÷ 4
= 9
Answer(s): (a) 17; (b) 9
