Adam has some paint.
He uses
311 of it to paint 5 doors and 2 cabinets.
The amount of paint needed to paint a cabinet is 2 times that of a door.
- How many doors can he paint using the remaining paint?
- How many cabinets can he paint using the remaining paint?
|
Doors |
Cabinets |
Number |
5 |
2 |
Value |
1 u |
2 u |
Total value |
5 u |
4 u |
(a)
Paint needed for 1 door = 1 u
Paint needed for 1 cabinet = 2 u
Paint needed for 5 doors and 2 cabinets
= 5 x 1 u x 2 x 2 u
= 5 u + 4 u
= 9 u
311 of the paint = 9 u
111 of the paint = 9 u ÷ 3 = 3 u
Fraction of the remaining paint left
= 1 -
311=
811 811 of the paint = 8 x 3 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 cabinets that Adam can paint with the remaining paint
= 24 u ÷ 2 u
= 12
Answer(s): (a) 24; (b) 12