Adam has some paint.
He uses
310 of it to paint 8 doors and 10 cabinets.
The amount of paint needed to paint a cabinet is 4 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 |
10 |
Value |
1 u |
4 u |
Total value |
8 u |
40 u |
(a)
Paint needed for 1 door = 1 u
Paint needed for 1 cabinet = 4 u
Paint needed for 8 doors and 10 cabinets
= 8 x 1 u x 10 x 4 u
= 8 u + 40 u
= 48 u
310 of the paint = 48 u
110 of the paint = 48 u ÷ 3 = 16 u
Fraction of the remaining paint left
= 1 -
310=
710 710 of the paint = 7 x 16 u = 112 u
Remaining paint left = 112 u
Number of doors that Adam can paint with the remaining paint
= 112 u ÷ 1 u
= 112
(b)
Number of cabinets that Adam can paint with the remaining paint
= 112 u ÷ 4 u
= 28
Answer(s): (a) 112; (b) 28