Adam has some paint.
He uses
45 of it to paint 10 doors and 2 cabinets.
The amount of paint needed to paint a cabinet is 5 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 |
10 |
2 |
Value |
1 u |
5 u |
Total value |
10 u |
10 u |
(a)
Paint needed for 1 door = 1 u
Paint needed for 1 cabinet = 5 u
Paint needed for 10 doors and 2 cabinets
= 10 x 1 u x 2 x 5 u
= 10 u + 10 u
= 20 u
45 of the paint = 20 u
15 of the paint = 20 u ÷ 4 = 5 u
Fraction of the remaining paint left
= 1 -
45=
15 15 of the paint = 1 x 5 u = 5 u
Remaining paint left = 5 u
Number of doors that Adam can paint with the remaining paint
= 5 u ÷ 1 u
= 5
(b)
Number of cabinets that Adam can paint with the remaining paint
= 5 u ÷ 5 u
= 1
Answer(s): (a) 5; (b) 1