Question

what is 3 yards and 16 inches eaqual toA. 124 in.B. 4 yd 4 in.C. 3 yd 1 1/2 ft D. 2 yd 52 in.E.10 ft 4 in.

Answer 1

ANSWERS

A, D, E.

EXPLANATION

To solve this question we have to keep in mind the following equivalents:

• 1 yard = 36 inches

,

• 1 yard = 3 feet

,

• 1 feet = 12 inches

Let's convert the number to inches: we have to find how many inches are 3 yards and add it to 16 inches:

$3\cdot36+16=108+16=124in$

Since we already have the number in inches, it is easier to compare the other options if we convert them to inches too.

B. 4yd 4in = 4·36 + 4 = 144 + 4 = 148 This options is not equivalent to the given number.

C. 3yd 1 1/2 ft:

$\begin{gathered} 3yd=3\cdot36=108in \\ 1\frac{1}{2}ft=\frac{3}{2}ft=\frac{3}{2}\cdot12=18in \\ \text{the sum is}\colon126 \end{gathered}$

This option is not equivalent either.

D. 2yd 52 in:

$\begin{gathered} 2yd=2\cdot36=72in \\ \text{the sum is: 124in} \end{gathered}$

This is equivalent

E. 10ft 4in:

$\begin{gathered} 10ft=10\cdot12=120in \\ \text{The sum is}\colon124 \end{gathered}$

This is equivalent.

In summary, the equivalent options are A, D and E.