Adam has some paint.
He uses
23 of it to paint 8 doors and 6 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 |
8 |
6 |
Value |
1 u |
2 u |
Total value |
8 u |
12 u |
(a)
Paint needed for 1 door = 1 u
Paint needed for 1 cabinet = 2 u
Paint needed for 8 doors and 6 cabinets
= 8 x 1 u x 6 x 2 u
= 8 u + 12 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 doors that Adam can paint with the remaining paint
= 10 u ÷ 1 u
= 10
(b)
Number of cabinets that Adam can paint with the remaining paint
= 10 u ÷ 2 u
= 5
Answer(s): (a) 10; (b) 5