Adam has some paint.
He uses
57 of it to paint 5 gates and 4 doors.
The amount of paint needed to paint a door is 5 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 |
5 |
4 |
Value |
1 u |
5 u |
Total value |
5 u |
20 u |
(a)
Paint needed for 1 gate = 1 u
Paint needed for 1 door = 5 u
Paint needed for 5 gates and 4 doors
= 5 x 1 u x 4 x 5 u
= 5 u + 20 u
= 25 u
57 of the paint = 25 u
17 of the paint = 25 u ÷ 5 = 5 u
Fraction of the remaining paint left
= 1 -
57=
27 27 of the paint = 2 x 5 u = 10 u
Remaining paint left = 10 u
Number of gates that Adam can paint with the remaining paint
= 10 u ÷ 1 u
= 10
(b)
Number of doors that Adam can paint with the remaining paint
= 10 u ÷ 5 u
= 2
Answer(s): (a) 10; (b) 2