Adam has some paint.
He uses
25 of it to paint 8 cabinets and 6 doors.
The amount of paint needed to paint a door is 2 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 |
6 |
Value |
1 u |
2 u |
Total value |
8 u |
12 u |
(a)
Paint needed for 1 cabinet = 1 u
Paint needed for 1 door = 2 u
Paint needed for 8 cabinets and 6 doors
= 8 x 1 u x 6 x 2 u
= 8 u + 12 u
= 20 u
25 of the paint = 20 u
15 of the paint = 20 u ÷ 2 = 10 u
Fraction of the remaining paint left
= 1 -
25=
35 35 of the paint = 3 x 10 u = 30 u
Remaining paint left = 30 u
Number of cabinets that Adam can paint with the remaining paint
= 30 u ÷ 1 u
= 30
(b)
Number of doors that Adam can paint with the remaining paint
= 30 u ÷ 2 u
= 15
Answer(s): (a) 30; (b) 15