There are some vans and scooters. There are 3 more scooters than vans. The total number of van wheels is 26 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 146 wheels?
| |
Vans |
Scooters |
More |
| Number |
1 u |
1 u + 3 |
|
| Value |
4 |
2 |
|
| Total value |
4 u |
2 u + 6 |
26 |
(a)
Number of vans = 1 u
Number of scooters = 1 u + 3
Number of van wheels
= 4 x 1 u
= 4 u
Number of scooter wheels
= 2 x (1 u + 3)
= 2 u + 6
Number of more van wheels than scooter wheels
= 4 u - (2 u + 6)
= 2 u - 6
2 u - 6 = 26
2 u = 26 + 6
2 u = 32
1 u = 32 ÷ 2 = 16
Number of scooters
= 1 u + 3
= 16 + 3
= 19
(b)
Total number of wheels
= 4 u + 2 u + 6
= 6 u + 6
= 6 x 16 + 6
= 96 + 6
= 102
Total number of wheels that belongs to the extra $(cars)
= 146 - 102
= 44
Number of more vans needed in order to get a total of 146 wheels
= 44 ÷ 4
= 11
Answer(s): (a) 19; (b) 11
