Adam has some paint.
He uses
511 of it to paint 2 doors and 9 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 |
2 |
9 |
Value |
1 u |
2 u |
Total value |
2 u |
18 u |
(a)
Paint needed for 1 door = 1 u
Paint needed for 1 cupboard = 2 u
Paint needed for 2 doors and 9 cupboards
= 2 x 1 u x 9 x 2 u
= 2 u + 18 u
= 20 u
511 of the paint = 20 u
111 of the paint = 20 u ÷ 5 = 4 u
Fraction of the remaining paint left
= 1 -
511=
611 611 of the paint = 6 x 4 u = 24 u
Remaining paint left = 24 u
Number of doors that Adam can paint with the remaining paint
= 24 u ÷ 1 u
= 24
(b)
Number of cupboards that Adam can paint with the remaining paint
= 24 u ÷ 2 u
= 12
Answer(s): (a) 24; (b) 12