Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts wat

1.	Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts water. The painter has by mistake added water so that he has 6 litres of paint which is half water and half paint. What must he add to make the proportions of the mixture correct?A) 1 litre paint B) 1 litre water C) ½ litre water and one litre paint D) ½ litre paint and one litre water
Answer» 1 litre paint Step-by-step explanation: 6 litres of paint which is half water and half paint. 6 litre of paint in ratio 1 : 1 i.e 3 litre paint and 3 litre water Paint needs to be THINNED to a ratio of 2 parts paint to 1.5 parts water. needed ratio = 2 : 1.5 = 4 : 3 If we add X litre to Paint $\frac{3 + x}{3} = \frac{4}{3}$ x = 1 litre. If we add X litre water $\frac{3}{3 + x} = \frac{4}{3}$ X = 3/4 litres we can get multiple results, so it is better to GO with CHOICE based answer. let X, Y be quantity of paint and water respectively. $\frac{3 + x}{3 + y} = \frac{4}{3}$ a) (3+1) / (3+0) = 4/3 b) 3 / (3+1) = 3/4 c) (3+1) / (3+1/2)= 8/7 d) (3+1/2) / (3+1) = 7/8 Hence OPTION A is CORRECT

Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts water. The painter has by mistake added water so that he has 6 litres of paint which is half water and half paint. What must he add to make the proportions of the mixture correct?A) 1 litre paint B) 1 litre water C) ½ litre water and one litre paint D) ½ litre paint and one litre water

Answer»

1 litre paint

Step-by-step explanation:

6 litres of paint which is half water and half paint.

6 litre of paint in ratio 1 : 1

i.e 3 litre paint and 3 litre water

Paint needs to be THINNED to a ratio of 2 parts paint to 1.5 parts water.

needed ratio = 2 : 1.5 = 4 : 3

If we add X litre to Paint

$\frac{3 + x}{3} = \frac{4}{3}$

x = 1 litre.

If we add X litre water

$\frac{3}{3 + x} = \frac{4}{3}$

X = 3/4 litres

we can get multiple results, so it is better to GO with CHOICE based answer.

let X, Y be quantity of paint and water respectively.

$\frac{3 + x}{3 + y} = \frac{4}{3}$

a) (3+1) / (3+0) = 4/3

b) 3 / (3+1) = 3/4

c) (3+1) / (3+1/2)= 8/7

d) (3+1/2) / (3+1) = 7/8