Question

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Marcos needs to buy a piece of fabric with a length of 1.3 meters. The fabric costs $0.45 per inch.
Marcos determines the calculation as 1.3m
100cm
1m
(2.54cm
$0.45
lin.
= 148.59.
lin
What is the error in Marcos' reasoning, and how much will the fabric cost?
А
Marcos made an incorrect conversion from centimeters to inches. The correct price is $23.03.
B
Marcos made an incorrect conversion from centimeters to inches. The correct price is $14.86.
С
Marcos made an incorrect conversion from meters to centimeters. The correct price is $23.03.
D
Marcos made an incorrect conversion from meters to centimeters. The correct price is $14.86.
I’m

Answer 1

А . Marcos made an incorrect conversion from centimeters to inches. The correct price is $23.03.

Explanation:

Given that,

Length of fabric = 1.3 meters

We know that,

1 m = 100 cm

⇒1.3 m = (1.3)×100 = 130 cm

⇒1.3 m = 130 cm

Now,

We know that

1 inch = 2.54 cm

and

1 cm = 0.3937 inches

⇒130 cm = (130)×(0.3937) inches

= 51.181 inches

⇒130 cm = 51.181 inches

Now,

Given that,

Cost of 1 inch = $0.45

⇒Cost of 51.181 inches = $(51.181)×(0.45)

= $ 23.03

∴ we get

The cost of fabric = $23.03

and

The correct option is - А . Marcos made an incorrect conversion from centimeters to inches. The correct price is $23.03.