Adam has some paint.
He uses
712 of it to paint 10 desks and 5 cupboards.
The amount of paint needed to paint a cupboard is 5 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 |
10 |
5 |
Value |
1 u |
5 u |
Total value |
10 u |
25 u |
(a)
Paint needed for 1 desk = 1 u
Paint needed for 1 cupboard = 5 u
Paint needed for 10 desks and 5 cupboards
= 10 x 1 u x 5 x 5 u
= 10 u + 25 u
= 35 u
712 of the paint = 35 u
112 of the paint = 35 u ÷ 7 = 5 u
Fraction of the remaining paint left
= 1 -
712=
512 512 of the paint = 5 x 5 u = 25 u
Remaining paint left = 25 u
Number of desks that Adam can paint with the remaining paint
= 25 u ÷ 1 u
= 25
(b)
Number of cupboards that Adam can paint with the remaining paint
= 25 u ÷ 5 u
= 5
Answer(s): (a) 25; (b) 5