a) The proportion to model this situation. Given: ratio

Teddy Dillard

Teddy Dillard

Answered question

2021-12-17

a) The proportion to model this situation.
Given: ratio of girls to boys in a class is 4:3 and there are 3 more girls than boys in the class.
b) The number of boys in the class.
Given: The ratio of girls to boys in a class is 4:3 and there are 3 more girls than boys in the class.

Answer & Explanation

Jacob Homer

Jacob Homer

Beginner2021-12-18Added 41 answers

a) 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 x+3.
Also given that the ratio of the girls to boys in the class is 4:3, so it gives
x+3x=43
Thus, the proportion to model the given situation is x+3x=43.
Archie Jones

Archie Jones

Beginner2021-12-19Added 34 answers

Step 1
b) Calculation:
In order to find the number of boys in the class simplify the proportion x+3x=43 as shown below.
x+3x=43
3(x+3)=4x
3x+9=4x
3x+93x=4x3x
9=x
x=9
Thus, the number of boys in the class is 9.

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