Adam has some paint.
He uses
23 of it to paint 5 cupboards and 3 doors.
The amount of paint needed to paint a door is 5 times that of a cupboard.
- How many cupboards can he paint using the remaining paint?
- How many doors can he paint using the remaining paint?
|
Cupboards |
Doors |
Number |
5 |
3 |
Value |
1 u |
5 u |
Total value |
5 u |
15 u |
(a)
Paint needed for 1 cupboard = 1 u
Paint needed for 1 door = 5 u
Paint needed for 5 cupboards and 3 doors
= 5 x 1 u x 3 x 5 u
= 5 u + 15 u
= 20 u
23 of the paint = 20 u
13 of the paint = 20 u ÷ 2 = 10 u
Fraction of the remaining paint left
= 1 -
23=
13 13 of the paint = 1 x 10 u = 10 u
Remaining paint left = 10 u
Number of cupboards that Adam can paint with the remaining paint
= 10 u ÷ 1 u
= 10
(b)
Number of doors that Adam can paint with the remaining paint
= 10 u ÷ 5 u
= 2
Answer(s): (a) 10; (b) 2