Adam has some paint.
He uses
311 of it to paint 7 desks and 10 doors.
The amount of paint needed to paint a door is 2 times that of a desk.
- How many desks can he paint using the remaining paint?
- How many doors can he paint using the remaining paint?
|
Desks |
Doors |
Number |
7 |
10 |
Value |
1 u |
2 u |
Total value |
7 u |
20 u |
(a)
Paint needed for 1 desk = 1 u
Paint needed for 1 door = 2 u
Paint needed for 7 desks and 10 doors
= 7 x 1 u x 10 x 2 u
= 7 u + 20 u
= 27 u
311 of the paint = 27 u
111 of the paint = 27 u ÷ 3 = 9 u
Fraction of the remaining paint left
= 1 -
311=
811 811 of the paint = 8 x 9 u = 72 u
Remaining paint left = 72 u
Number of desks that Adam can paint with the remaining paint
= 72 u ÷ 1 u
= 72
(b)
Number of doors that Adam can paint with the remaining paint
= 72 u ÷ 2 u
= 36
Answer(s): (a) 72; (b) 36