Adam has some paint.
He uses
35 of it to paint 6 doors and 10 desks.
The amount of paint needed to paint a desk is 3 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 |
6 |
10 |
Value |
1 u |
3 u |
Total value |
6 u |
30 u |
(a)
Paint needed for 1 door = 1 u
Paint needed for 1 desk = 3 u
Paint needed for 6 doors and 10 desks
= 6 x 1 u x 10 x 3 u
= 6 u + 30 u
= 36 u
35 of the paint = 36 u
15 of the paint = 36 u ÷ 3 = 12 u
Fraction of the remaining paint left
= 1 -
35=
25 25 of the paint = 2 x 12 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 ÷ 3 u
= 8
Answer(s): (a) 24; (b) 8