Question

Uncle Amo purchases 4 meters of red rope and additional gray rope at an equal cost per meter. His total payment for both ropes amounts to 17.46 Dollars. How many meters of gray rope did he buy?

A) 3 meters
B) 6 meters
C) 7 meters
D) 8 meters

Answer 1

Without the individual price of the red or gray ropes, we must assume a variable for cost per meter and test each option (3, 6, 7, or 8 meters) with the total cost ($17.46) to find how many meters of gray rope Uncle Amo bought. None of the options are correct.

Step-by-step explanation:

To determine how many meters of gray rope Uncle Amo purchased, we need to know the cost per meter of the ropes. Since Uncle Amo purchased 4 meters of red rope and some meters of gray rope at an equal cost per meter, we can represent the cost per meter by a variable, let's call it c. The total cost for both ropes is $17.46. The question does not provide the price of the red or gray ropes separately, but since the ropes have the same cost per meter, we can use the total cost to find the cost per meter.

Let's assume Uncle Amo bought x meters of gray rope. The cost for 4 meters of red rope is 4c, and the cost for x meters of gray rope is xc.

The total cost is thus:

4c + xc = $17.46

Combining like terms, we get:

(4 + x)c = $17.46

We don't have enough information to find the exact value of c or x, so we need more data or another equation to solve this problem completely. However, if we are provided with a set of options, we can test each option to see which one, when multiplied by the cost per meter, would add up to the total cost with the red rope's cost.