Adam has some paint.
He uses
37 of it to paint 5 gates and 10 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 |
5 |
10 |
Value |
1 u |
4 u |
Total value |
5 u |
40 u |
(a)
Paint needed for 1 gate = 1 u
Paint needed for 1 door = 4 u
Paint needed for 5 gates and 10 doors
= 5 x 1 u x 10 x 4 u
= 5 u + 40 u
= 45 u
37 of the paint = 45 u
17 of the paint = 45 u ÷ 3 = 15 u
Fraction of the remaining paint left
= 1 -
37=
47 47 of the paint = 4 x 15 u = 60 u
Remaining paint left = 60 u
Number of gates that Adam can paint with the remaining paint
= 60 u ÷ 1 u
= 60
(b)
Number of doors that Adam can paint with the remaining paint
= 60 u ÷ 4 u
= 15
Answer(s): (a) 60; (b) 15