(a)
The proportion to model thissituation.
(a)
Answer to Problem 57PFA
Explanation of Solution
Given:
The ratio of girls to boys in a class is 4:3 and there are 3 more girls than boys in the class.
Concept Used:
Rules of Addition/ Subtraction:
- Two numbers with similar sign always get added and the resulting number will carry the similar sign.
- Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.
Rules of Multiplication/ Division:
- The product/quotient of two similar sign numbers is always positive.
- The product/quotient of two numbers with opposite signs is always negative.
Calculation:
Let the number of boys in the class be x. Since there are 3 more girls then the boys in the class, so the number of girls in class would be
Also given that the ratio of the girls to boys in the class is 4:3, so it gives
Thus, theproportion to model the given situation is
(b)
The number of boys in the class.
(b)
Answer to Problem 57PFA
Explanation of Solution
Given:
The ratio of girls to boys in a class is 4:3 and there are 3 more girls than boys in the class.
Concept Used:
Rules of Addition/ Subtraction:
- Two numbers with similar sign always get added and the resulting number will carry the similar sign.
- Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.
Rules of Multiplication/ Division:
- The product/quotient of two similar sign numbers is always positive.
- The product/quotient of two numbers with opposite signs is always negative.
Calculation:
In order to find the number of boys in the classsimplify the proportion
Thus, the number of boys in the class is 9.
Chapter 2 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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