There are some cars and scooters. There are 3 more scooters than cars. The total number of car wheels is 32 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 164 wheels?
|
Cars |
Scooters |
More |
Number |
1 u |
1 u + 3 |
|
Value |
4 |
2 |
|
Total value |
4 u |
2 u + 6 |
32 |
(a)
Number of cars = 1 u
Number of scooters = 1 u + 3
Number of car wheels
= 4 x 1 u
= 4 u
Number of scooter wheels
= 2 x (1 u + 3)
= 2 u + 6
Number of more car wheels than scooter wheels
= 4 u - (2 u + 6)
= 2 u - 6
2 u - 6 = 32
2 u = 32 + 6
2 u = 38
1 u = 38 ÷ 2 = 19
Number of scooters
= 1 u + 3
= 19 + 3
= 22
(b)
Total number of wheels
= 4 u + 2 u + 6
= 6 u + 6
= 6 x 19 + 6
= 114 + 6
= 120
Total number of wheels that belongs to the extra $(cars)
= 164 - 120
= 44
Number of more cars needed in order to get a total of 164 wheels
= 44 ÷ 4
= 11
Answer(s): (a) 22; (b) 11