Question

To make a bracelet out of yarn, Maria needs 3/4 of a foot of yarn. If she has a piece of material that is 5 1/4 ft, how many bracelets can she make?

a) 4 bracelets
b) 7 bracelets
c) 6 bracelets
d) 9 bracelets

Answer 1

Maria can make 7 bracelets with 5 1/4 feet of yarn, and she can make 14 bracelets with twice that amount of yarn, which is 10 1/2 feet.

Step-by-step explanation:

To determine how many bracelets Maria can make with a piece of material that is 5 1/4 ft long, we first need to know how much yarn one bracelet requires, which is 3/4 of a foot. To find out how many bracelets can be made, divide the total length of yarn by the length needed for one bracelet.

First, convert 5 1/4 feet into an improper fraction: 5 1/4 = (5 × 4 + 1) / 4 = 21/4 feet.

Now, divide 21/4 feet by 3/4 foot to find the number of bracelets:

(21/4) ÷ (3/4) = (21 × 4) / (3 × 4) = 21 / 3 = 7 bracelets.

Maria can make 7 bracelets with 5 1/4 feet of yarn.

Repeat the Calculation for Twice the Length of Yarn

If Maria uses twice this length of yarn, she would have 2 × 5 1/4 feet, which equals 10 1/2 feet, or as an improper fraction, 21/2 feet.

(21/2) ÷ (3/4) = (21 × 4) / (3 × 2) = 84 / 6 = 14 bracelets.

Therefore, with twice the length of yarn, Maria could make 14 bracelets.