USING RATIOS TO DIVIDE QUANTITES WORD PROBLEMS WORKSHEET

Problem 1 :

I wish to divide $12000 in the ratio 2 : 3 to give to my children Pam and Sam. How much does each one receive?

Solution

Problem 2 :

The recommended cordial to water ratio is 1 : 4. Calculate how many mL of cordial are needed to make:

a) a 300 mL glass of mixture

b) a 2L container of mixture.

Solution

Problem 3 :

The recommended disinfectant to water ratio is 1 : 20. How many mL of concentrated disinfectant are required to make a 9 L bucket of mixture?

Solution

Problem 4 :

A bag of 25 marble is divided between Jill and John in the ratio 2 : 3.

a)  What fraction does Jill receive?

b) How many marbles does Jill receive?

c) How many marbles does John receive?.

Solution

Problem 5 :

Divide:

a) $20 in the ratio 1 : 4

b) $49 in the ratio 5 : 2.

Solution

Problem 6 :

$400 is divided in the ratio 3 : 2. What is the larger share?

Solution

Problem 7 :

$160000 is divided in the ratio 3 : 5. What is the smaller share?

Solution

Problem 8 :

To make standard concrete, gravel, sand and cement are mixed in the ratio 5 : 3 : 1. I wish to make 18 tonnes of concrete. How much gravel, sand and cement must I purchase?

Solution

Problem 9 :

My fortune of $810, 000 is to be divided in the ratio 4 : 3 : 2. How much does each person receive?

Solution

Problem 10 :

An alloy is made from copper, zinc and tin in the ratio 17 : 2 : 1. How much zinc is required to make 10 tonnes of the alloy?

Solution

Problem 11 :

Joe and Bob share the cost of a video game in the ratio 3 : 7.

a) What fraction does each pay?

b)  If the game costs $35, how much does each pay?

c)  If Joe pays $12, how much does Bob pay?

d)  If Bob pays $42, what is the price of the video game

Solution

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