Adam has some paint.
He uses
311 of it to paint 9 desks and 3 cupboards.
The amount of paint needed to paint a cupboard is 3 times that of a desk.
- How many desks can he paint using the remaining paint?
- How many cupboards can he paint using the remaining paint?
|
Desks |
Cupboards |
Number |
9 |
3 |
Value |
1 u |
3 u |
Total value |
9 u |
9 u |
(a)
Paint needed for 1 desk = 1 u
Paint needed for 1 cupboard = 3 u
Paint needed for 9 desks and 3 cupboards
= 9 x 1 u x 3 x 3 u
= 9 u + 9 u
= 18 u
311 of the paint = 18 u
111 of the paint = 18 u ÷ 3 = 6 u
Fraction of the remaining paint left
= 1 -
311=
811 811 of the paint = 8 x 6 u = 48 u
Remaining paint left = 48 u
Number of desks that Adam can paint with the remaining paint
= 48 u ÷ 1 u
= 48
(b)
Number of cupboards that Adam can paint with the remaining paint
= 48 u ÷ 3 u
= 16
Answer(s): (a) 48; (b) 16