Question

For every 4 girls that preferred a lighter shade of blue jeans, 3 girls preferred a darker shade. If a total of 210 girls were surveyed, how many chose the lighter shade? Justify your reasoning by applying relevant strategies to solve the problem.

Answer 1

120 girls chose the lighter shade

Explanation:

For every 4 girls that preferred a lighter shade of blue jeans, 3 girls preferred a darker shade.

This question has to do with ratio and proportions.

For every 4 girls that preferred a lighter shade of blue jeans, 3 girls preferred a darker shade.

We have a ratio of Lighter shade to darker shade

Lighter shade: Darker shade

= 4:3

Sum of proportions = 4 + 3 = 7

Total number surveyed = 210

If a total of 210 girls were surveyed, how many chose the lighter shade?

This is calculated as:

4/7 × 210 girls

= 120 girls

Therefore, 120 girls chose the lighter shade