Adam has some paint.
He uses
23 of it to paint 10 gates and 4 desks.
The amount of paint needed to paint a desk is 5 times that of a gate.
- How many gates can he paint using the remaining paint?
- How many desks can he paint using the remaining paint?
|
Gates |
Desks |
Number |
10 |
4 |
Value |
1 u |
5 u |
Total value |
10 u |
20 u |
(a)
Paint needed for 1 gate = 1 u
Paint needed for 1 desk = 5 u
Paint needed for 10 gates and 4 desks
= 10 x 1 u x 4 x 5 u
= 10 u + 20 u
= 30 u
23 of the paint = 30 u
13 of the paint = 30 u ÷ 2 = 15 u
Fraction of the remaining paint left
= 1 -
23=
13 13 of the paint = 1 x 15 u = 15 u
Remaining paint left = 15 u
Number of gates that Adam can paint with the remaining paint
= 15 u ÷ 1 u
= 15
(b)
Number of desks that Adam can paint with the remaining paint
= 15 u ÷ 5 u
= 3
Answer(s): (a) 15; (b) 3