Adam has some paint.
He uses
25 of it to paint 4 desks and 2 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 |
4 |
2 |
Value |
1 u |
3 u |
Total value |
4 u |
6 u |
(a)
Paint needed for 1 desk = 1 u
Paint needed for 1 cupboard = 3 u
Paint needed for 4 desks and 2 cupboards
= 4 x 1 u x 2 x 3 u
= 4 u + 6 u
= 10 u
25 of the paint = 10 u
15 of the paint = 10 u ÷ 2 = 5 u
Fraction of the remaining paint left
= 1 -
25=
35 35 of the paint = 3 x 5 u = 15 u
Remaining paint left = 15 u
Number of desks that Adam can paint with the remaining paint
= 15 u ÷ 1 u
= 15
(b)
Number of cupboards that Adam can paint with the remaining paint
= 15 u ÷ 3 u
= 5
Answer(s): (a) 15; (b) 5