6th Grade Word Problems

The following are some examples of 6th Grade Math Word Problems that deals with ratio and fractions.

Example:

Adeline’s salary is of Connie’s salary.

a) Find the ratio of Adeline’s salary to Connie’s salary.

b) Find the ratio of Connie’s salary to Adeline’s salary to their total salary.

Solution:

Total number of units = 5 + 2 = 7

From the model, we see that.

a) The ratio of Adeline’s salary to Connie’s salary is 5 : 2.

b) The ratio of Connie’s salary to Adeline’s salary to their total salary is 2 : 5 : 7.

Example:

Joanne’s savings is 4 times as much as Pam’s savings.

a) What is the ratio of Joanne’s savings to Pam’s savings to their total savings?

b) What fraction of their total savings is Joanne’s savings?

c) What fraction of Joanne’s savings is Pam’s savings?

d) If both girls save a total of $120, how much does Joanne save?

Solution:

a) Total number of units = 5

The ratio of Joanne’s savings to Pam’s savings to their total savings is 4 : 1 : 5.

b) The ratio of Joanne’s savings to their totas savings is 4 : 5.

Joanne’s savings is of the total savings.

c) The ratio of Pam’s savings to Joanne’s savings is 1 : 4.

Pam’s savings is of Joanne’s savings.

d) From the model, we see that

5 units = $120

1 unit = = $24

4 units = 4 × $24 = $96

Joanne saves $96.

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