There are some cars and scooters. There are 5 more scooters than cars. The total number of car wheels is 26 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 154 wheels?
| |
Cars |
Scooters |
More |
| Number |
1 u |
1 u + 5 |
|
| Value |
4 |
2 |
|
| Total value |
4 u |
2 u + 10 |
26 |
(a)
Number of cars = 1 u
Number of scooters = 1 u + 5
Number of car wheels
= 4 x 1 u
= 4 u
Number of scooter wheels
= 2 x (1 u + 5)
= 2 u + 10
Number of more car wheels than scooter wheels
= 4 u - (2 u + 10)
= 2 u - 10
2 u - 10 = 26
2 u = 26 + 10
2 u = 36
1 u = 36 ÷ 2 = 18
Number of scooters
= 1 u + 5
= 18 + 5
= 23
(b)
Total number of wheels
= 4 u + 2 u + 10
= 6 u + 10
= 6 x 18 + 10
= 108 + 10
= 118
Total number of wheels that belongs to the extra $(cars)
= 154 - 118
= 36
Number of more cars needed in order to get a total of 154 wheels
= 36 ÷ 4
= 9
Answer(s): (a) 23; (b) 9
