Adam has some paint.
He uses
58 of it to paint 4 cupboards and 8 doors.
The amount of paint needed to paint a door is 2 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 |
4 |
8 |
Value |
1 u |
2 u |
Total value |
4 u |
16 u |
(a)
Paint needed for 1 cupboard = 1 u
Paint needed for 1 door = 2 u
Paint needed for 4 cupboards and 8 doors
= 4 x 1 u x 8 x 2 u
= 4 u + 16 u
= 20 u
58 of the paint = 20 u
18 of the paint = 20 u ÷ 5 = 4 u
Fraction of the remaining paint left
= 1 -
58=
38 38 of the paint = 3 x 4 u = 12 u
Remaining paint left = 12 u
Number of cupboards that Adam can paint with the remaining paint
= 12 u ÷ 1 u
= 12
(b)
Number of doors that Adam can paint with the remaining paint
= 12 u ÷ 2 u
= 6
Answer(s): (a) 12; (b) 6