Adam has some paint.
He uses
711 of it to paint 5 desks and 4 cupboards.
The amount of paint needed to paint a cupboard is 4 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 |
5 |
4 |
Value |
1 u |
4 u |
Total value |
5 u |
16 u |
(a)
Paint needed for 1 desk = 1 u
Paint needed for 1 cupboard = 4 u
Paint needed for 5 desks and 4 cupboards
= 5 x 1 u x 4 x 4 u
= 5 u + 16 u
= 21 u
711 of the paint = 21 u
111 of the paint = 21 u ÷ 7 = 3 u
Fraction of the remaining paint left
= 1 -
711=
411 411 of the paint = 4 x 3 u = 12 u
Remaining paint left = 12 u
Number of desks that Adam can paint with the remaining paint
= 12 u ÷ 1 u
= 12
(b)
Number of cupboards that Adam can paint with the remaining paint
= 12 u ÷ 4 u
= 3
Answer(s): (a) 12; (b) 3