Adam has some paint.
He uses
59 of it to paint 4 doors and 8 cupboards.
The amount of paint needed to paint a cupboard is 2 times that of a door.
- How many doors can he paint using the remaining paint?
- How many cupboards can he paint using the remaining paint?
|
Doors |
Cupboards |
Number |
4 |
8 |
Value |
1 u |
2 u |
Total value |
4 u |
16 u |
(a)
Paint needed for 1 door = 1 u
Paint needed for 1 cupboard = 2 u
Paint needed for 4 doors and 8 cupboards
= 4 x 1 u x 8 x 2 u
= 4 u + 16 u
= 20 u
59 of the paint = 20 u
19 of the paint = 20 u ÷ 5 = 4 u
Fraction of the remaining paint left
= 1 -
59=
49 49 of the paint = 4 x 4 u = 16 u
Remaining paint left = 16 u
Number of doors that Adam can paint with the remaining paint
= 16 u ÷ 1 u
= 16
(b)
Number of cupboards that Adam can paint with the remaining paint
= 16 u ÷ 2 u
= 8
Answer(s): (a) 16; (b) 8