There are some vans and scooters. There are 6 more scooters than vans. The total number of van wheels is 24 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 152 wheels?
| |
Vans |
Scooters |
More |
| Number |
1 u |
1 u + 6 |
|
| Value |
4 |
2 |
|
| Total value |
4 u |
2 u + 12 |
24 |
(a)
Number of vans = 1 u
Number of scooters = 1 u + 6
Number of van wheels
= 4 x 1 u
= 4 u
Number of scooter wheels
= 2 x (1 u + 6)
= 2 u + 12
Number of more van wheels than scooter wheels
= 4 u - (2 u + 12)
= 2 u - 12
2 u - 12 = 24
2 u = 24 + 12
2 u = 36
1 u = 36 ÷ 2 = 18
Number of scooters
= 1 u + 6
= 18 + 6
= 24
(b)
Total number of wheels
= 4 u + 2 u + 12
= 6 u + 12
= 6 x 18 + 12
= 108 + 12
= 120
Total number of wheels that belongs to the extra $(cars)
= 152 - 120
= 32
Number of more vans needed in order to get a total of 152 wheels
= 32 ÷ 4
= 8
Answer(s): (a) 24; (b) 8
