Ratio and Rate Problems
We will use real world examples to solve ratio and rate problems. To solve ratio and rate problems you can use equivalent ratios with multiplication and division:
Example 1: A survey found that 12 out of every 15 people in the United States prefer eating at a restaurant over cooking at home. If 400 people selected eating at a restaurant on the survey, how many people took the survey?
Step 1 simplify 12/15 using GCF.Find GCF:
Factors of 12 :1,2,3,4,6 and 12
Factors of 15:1,3,5, and 15
Common factors of 12 and 15: 1 and 3 . Although all bold numbers are common factors of 12 and 15, 3 is the greatest common factor. We divide the numerator and denominator by 3.
We need to put the number of people who selected eating at a $1 restaurant in the numerator and x as the unknown factor. We multiply the numerator by 100 to get 400. Since we multiplied the numerator by 100 we also need to multiply the denominator by 100. Therefore, 500 people took the survey.
A tutor charges $30 for 2 hours.How much does she charge for 5 hours?
Step 1 We can set up an equivalent ratio to find the unit rate:
So for 5 hours, the tutor will charge you $75
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Ratio, Rate and Proportion Video