Adam has some paint.
He uses
512 of it to paint 6 desks and 8 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 |
6 |
8 |
Value |
1 u |
3 u |
Total value |
6 u |
24 u |
(a)
Paint needed for 1 desk = 1 u
Paint needed for 1 cupboard = 3 u
Paint needed for 6 desks and 8 cupboards
= 6 x 1 u x 8 x 3 u
= 6 u + 24 u
= 30 u
512 of the paint = 30 u
112 of the paint = 30 u ÷ 5 = 6 u
Fraction of the remaining paint left
= 1 -
512=
712 712 of the paint = 7 x 6 u = 42 u
Remaining paint left = 42 u
Number of desks that Adam can paint with the remaining paint
= 42 u ÷ 1 u
= 42
(b)
Number of cupboards that Adam can paint with the remaining paint
= 42 u ÷ 3 u
= 14
Answer(s): (a) 42; (b) 14