Adam has some paint.
He uses
79 of it to paint 9 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 |
9 |
6 |
Value |
1 u |
2 u |
Total value |
9 u |
12 u |
(a)
Paint needed for 1 cabinet = 1 u
Paint needed for 1 door = 2 u
Paint needed for 9 cabinets and 6 doors
= 9 x 1 u x 6 x 2 u
= 9 u + 12 u
= 21 u
79 of the paint = 21 u
19 of the paint = 21 u ÷ 7 = 3 u
Fraction of the remaining paint left
= 1 -
79=
29 29 of the paint = 2 x 3 u = 6 u
Remaining paint left = 6 u
Number of cabinets that Adam can paint with the remaining paint
= 6 u ÷ 1 u
= 6
(b)
Number of doors that Adam can paint with the remaining paint
= 6 u ÷ 2 u
= 3
Answer(s): (a) 6; (b) 3