Question

A roll of carpet that contains 150 yards of carpet will cover how many rooms if each room requires

9 3/4yards of carpet?

a) 15.3846 rooms
b) 13.8462 rooms
c) 12.3077 rooms
d) 10.7692 rooms

Answer 1

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its the answer

Answer 2

To find out how many rooms can be covered by the carpet roll, divide the total yards by the yards required for each room. In this case, the carpet roll will cover approximately 15.3846 rooms.

Step-by-step explanation:

To find out how many rooms can be covered by the roll of carpet, we need to divide the total yards of the carpet by the yards required for each room. So, in this case, we divide 150 yards by 9 3/4 yards per room:

1. First, convert 9 3/4 yards to the improper fraction by multiplying the whole number (9) by the denominator (4) and adding the numerator (3). This gives us 39/4 yards.
2. Now, divide 150 yards by 39/4 yards.
3. To divide by a fraction, we multiply by the reciprocal. In this case, we multiply 150 yards by 4/39.
4. Performing the multiplication, we get (150 yards) * (4/39) = 600/39 yards.
5. Finally, simplify the fraction by dividing the numerator (600) by the denominator (39): 600 ÷ 39 = 15.3846.

Therefore, the carpet roll will cover approximately 15.3846 rooms.