Adam has some paint.
He uses
47 of it to paint 8 cabinets and 2 doors.
The amount of paint needed to paint a door is 4 times that of a cabinet.
- How many cabinets can he paint using the remaining paint?
- How many doors can he paint using the remaining paint?
|
Cabinets |
Doors |
Number |
8 |
2 |
Value |
1 u |
4 u |
Total value |
8 u |
8 u |
(a)
Paint needed for 1 cabinet = 1 u
Paint needed for 1 door = 4 u
Paint needed for 8 cabinets and 2 doors
= 8 x 1 u x 2 x 4 u
= 8 u + 8 u
= 16 u
47 of the paint = 16 u
17 of the paint = 16 u ÷ 4 = 4 u
Fraction of the remaining paint left
= 1 -
47=
37 37 of the paint = 3 x 4 u = 12 u
Remaining paint left = 12 u
Number of cabinets 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 ÷ 4 u
= 3
Answer(s): (a) 12; (b) 3