Question

1 litre of a liquid P has a mass of p grams. 1 Litre of a liquid Q has a mass of q grams. A liquid R is made by mixing a volume of liquid P with a volume of liquid Q in the ratio 3:7. Find an expression, in terms of p and q, for the mass of 50 litres of liquid R

Answer 1

mass of 50 L of R = 15p + 35q

Explanation:

1L of P = p g

1L of Q = q g

R = 3P + 7Q

total = 10

P = 3/10 R

Q = 7/10 R

R = 50 L

50 L × 0.3 = 15 L the amount of P in L

15 L of P = 15p g

35 L 0f Q = 35 q g

then

mass of 50 L of R = 15 p + 35 q grams