There are some vans and scooters. There are 6 more scooters than vans. The total number of van wheels is 16 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 144 wheels?
|
Vans |
Scooters |
More |
Number |
1 u |
1 u + 6 |
|
Value |
4 |
2 |
|
Total value |
4 u |
2 u + 12 |
16 |
(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 = 16
2 u = 16 + 12
2 u = 28
1 u = 28 ÷ 2 = 14
Number of scooters
= 1 u + 6
= 14 + 6
= 20
(b)
Total number of wheels
= 4 u + 2 u + 12
= 6 u + 12
= 6 x 14 + 12
= 84 + 12
= 96
Total number of wheels that belongs to the extra $(cars)
= 144 - 96
= 48
Number of more vans needed in order to get a total of 144 wheels
= 48 ÷ 4
= 12
Answer(s): (a) 20; (b) 12