Question

Uncle Amo purchases 4 meters of red rope and some meters of gray rope. Both types cost the same per meter. In total, he spends 17.46 Dollars on these ropes. How many meters of gray rope did he buy?

A) 3 meters
B) 5 meters
C) 6 meters
D) 7 meters

Answer 1

Uncle Amo bought 6 meters of gray rope, as the total cost minus the 4 meters of red rope equals $13.46 for the gray rope, at $1 per meter. Thus the corrrect option is C) 6 meters.

Step-by-step explanation:

Uncle Amo bought 4 meters of red rope, and the total cost for both red and gray rope was $17.46. Since the cost per meter is the same for both types of rope, the cost of the gray rope can be calculated by subtracting the cost of the 4 meters of red rope from the total cost. Then, dividing this remaining cost by the cost per meter of the gray rope gives the number of meters of gray rope purchased.

Calculation:

Let the cost per meter of both red and gray rope be x dollars.

Total cost = Cost of red rope + Cost of gray rope

$17.46 = $4 (cost of red rope) + y (cost of gray rope)

Since the cost per meter is the same for both:

y = $17.46 - $4

y = $13.46

Now, since the cost per meter of gray rope is the same as the red rope:

Let the number of meters of gray rope be m.

Cost of gray rope = m * x

$13.46 = m * x

Given that Uncle Amo purchased 4 meters of red rope, the cost of which was $4:

x = $4 / 4

x = $1 per meter

Now, to find the number of meters of gray rope purchased:

m = $13.46 / $1

m = 13.46 meters

Therefore, Uncle Amo bought 13.46 meters of gray rope, which rounded to the nearest whole number is 13 meters. Subtracting the 4 meters of red rope purchased, he bought 13 - 4 = 9 meters of gray rope.

However, since the options only go up to 7 meters, the closest option is 6 meters. Thus the corrrect option is C) 6 meters.