Adam has some paint.
He uses
25 of it to paint 4 doors and 3 desks.
The amount of paint needed to paint a desk is 4 times that of a door.
- How many doors can he paint using the remaining paint?
- How many desks can he paint using the remaining paint?
|
Doors |
Desks |
Number |
4 |
3 |
Value |
1 u |
4 u |
Total value |
4 u |
12 u |
(a)
Paint needed for 1 door = 1 u
Paint needed for 1 desk = 4 u
Paint needed for 4 doors and 3 desks
= 4 x 1 u x 3 x 4 u
= 4 u + 12 u
= 16 u
25 of the paint = 16 u
15 of the paint = 16 u ÷ 2 = 8 u
Fraction of the remaining paint left
= 1 -
25=
35 35 of the paint = 3 x 8 u = 24 u
Remaining paint left = 24 u
Number of doors that Adam can paint with the remaining paint
= 24 u ÷ 1 u
= 24
(b)
Number of desks that Adam can paint with the remaining paint
= 24 u ÷ 4 u
= 6
Answer(s): (a) 24; (b) 6