Question

A boy scout has 3 meters of rope. He cuts the rope into cords 3/5 meters long. Rewrite the problem as a multiplication question. How many cords will he make?

a) 5 cords
b) 4 cords
c) 6 cords
d) 3 cords

Answer 1

The boy scout can make 5 cords from 3 meters of rope when each cord is 3/5 meters long. The problem is approached as multiplying 3 meters by the reciprocal of 3/5 meters to find the number of cords.

Step-by-step explanation:

To solve how many cords a boy scout can make from 3 meters of rope when each cord is 3/5 meters long, we treat it as a division problem that can also be rewritten as a multiplication question. Since we want to know how many 3/5 meter cords can be made from 3 meters of rope, we divide the total length of the rope by the length of one cord.

The multiplication question corresponding to this division would be:

• Find out how many times the rope's length of 3/5 meters fits into the total rope's length of 3 meters.
• This can be written as a multiplication question of the form: What number times 3/5 equals 3, or in mathematical terms, x * (3/5) = 3.

The answer is calculated by dividing 3 by 3/5, which simplifies to multiplying 3 by the reciprocal of 3/5. This yields:

3 * (5/3) = 5

Therefore, the Boy Scout can make 5 cords.