Adam has some paint.
He uses
34 of it to paint 4 gates and 5 doors.
The amount of paint needed to paint a door is 4 times that of a gate.
- How many gates can he paint using the remaining paint?
- How many doors can he paint using the remaining paint?
|
Gates |
Doors |
Number |
4 |
5 |
Value |
1 u |
4 u |
Total value |
4 u |
20 u |
(a)
Paint needed for 1 gate = 1 u
Paint needed for 1 door = 4 u
Paint needed for 4 gates and 5 doors
= 4 x 1 u x 5 x 4 u
= 4 u + 20 u
= 24 u
34 of the paint = 24 u
14 of the paint = 24 u ÷ 3 = 8 u
Fraction of the remaining paint left
= 1 -
34=
14 14 of the paint = 1 x 8 u = 8 u
Remaining paint left = 8 u
Number of gates that Adam can paint with the remaining paint
= 8 u ÷ 1 u
= 8
(b)
Number of doors that Adam can paint with the remaining paint
= 8 u ÷ 4 u
= 2
Answer(s): (a) 8; (b) 2