Question

Raymond buys 94 yards of ribbon. He makes bows that use 2 2/3 yards of ribbon each. How many bows can Raymond make?

1) 30 bows
2) 35 bows
3) 40 bows
4) 45 bows

Answer 1

Raymond can make 35 whole bows with 94 yards of ribbon as each bow requires 2 2/3 yards. The division results in 35.25, which means 35 complete bows with some ribbon remaining.

Step-by-step explanation:

The question asks how many bows Raymond can make with 94 yards of ribbon if each bow requires 2 2/3 yards of ribbon. To solve this, we need to divide the total amount of ribbon by the amount of ribbon required for each bow.

To perform the division, we first convert the mixed number 2 2/3 yards to an improper fraction. We do this by multiplying the whole number by the denominator, adding the numerator, and then writing the result over the original denominator: 2 * 3 + 2 = 6 + 2 = 8, so 2 2/3 yards becomes 8/3 yards.

Now we divide 94 yards by 8/3 yards per bow using the division rule for fractions (i.e., multiply by the reciprocal), so:

94 ÷ (8/3) = 94 * (3/8) = 282/8 = 35.25

Since Raymond can't make a fraction of a bow, he can make 35 whole bows, with some ribbon left over.