There are some vans and scooters. There are 2 more scooters than vans. The total number of van wheels is 12 more than the total number of scooter wheels.
- How many scooters are there?
- How many more vans are needed in order to get a total of 84 wheels?
|
Vans |
Scooters |
More |
Number |
1 u |
1 u + 2 |
|
Value |
4 |
2 |
|
Total value |
4 u |
2 u + 4 |
12 |
(a)
Number of vans = 1 u
Number of scooters = 1 u + 2
Number of van wheels
= 4 x 1 u
= 4 u
Number of scooter wheels
= 2 x (1 u + 2)
= 2 u + 4
Number of more van wheels than scooter wheels
= 4 u - (2 u + 4)
= 2 u - 4
2 u - 4 = 12
2 u = 12 + 4
2 u = 16
1 u = 16 ÷ 2 = 8
Number of scooters
= 1 u + 2
= 8 + 2
= 10
(b)
Total number of wheels
= 4 u + 2 u + 4
= 6 u + 4
= 6 x 8 + 4
= 48 + 4
= 52
Total number of wheels that belongs to the extra $(cars)
= 84 - 52
= 32
Number of more vans needed in order to get a total of 84 wheels
= 32 ÷ 4
= 8
Answer(s): (a) 10; (b) 8