Adam has some paint.
He uses
712 of it to paint 4 doors and 9 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 |
4 |
9 |
Value |
1 u |
5 u |
Total value |
4 u |
45 u |
(a)
Paint needed for 1 door = 1 u
Paint needed for 1 cabinet = 5 u
Paint needed for 4 doors and 9 cabinets
= 4 x 1 u x 9 x 5 u
= 4 u + 45 u
= 49 u
712 of the paint = 49 u
112 of the paint = 49 u ÷ 7 = 7 u
Fraction of the remaining paint left
= 1 -
712=
512 512 of the paint = 5 x 7 u = 35 u
Remaining paint left = 35 u
Number of doors that Adam can paint with the remaining paint
= 35 u ÷ 1 u
= 35
(b)
Number of cabinets that Adam can paint with the remaining paint
= 35 u ÷ 5 u
= 7
Answer(s): (a) 35; (b) 7