Question

A fancy beaded bracelet requires 3 1/4 inches of string for every 1 inch of the length of the bracelet. If you were to make a bracelet that was 7 1/2 inches long, how much string would you need? Explain your reasoning.

a) 195/4 inches

b) 29/4 inches

c) 15/4 inches

d) 45/4 inches

Answer 1

To find the amount of string needed for a bracelet that is 7 1/2 inches long, you can multiply the length of the bracelet by the ratio of string required per inch. The answer is 29/4 inches of string.

Step-by-step explanation:

To find the amount of string needed for a bracelet that is 7 1/2 inches long, we need to multiply the length of the bracelet by the ratio of string required per inch. The ratio given is 3 1/4 inches of string for every 1 inch of bracelet length. So, we can set up the proportion:

3 1/4 inches of string / 1 inch of bracelet = x inches of string / 7 1/2 inches of bracelet

Cross-multiplying and solving for x, we get x = (3 1/4 inches of string / 1 inch of bracelet) * (7 1/2 inches of bracelet) = 29/4 inches of string.