Question

Which of the following expressions is equivalent to $56+24$?

• A. $5\left[\right(18+3)÷7\times 2]$
• B. $5(18÷3-5)$
• C. $5(18÷3+5+2)$
• D. $5(18÷3+5\times 2)$

Answer 1

The correct option is D $5(18÷3+5\times 2)$

We know, $56+24=80$
Let’s look at the options one by one.

Option a
$5(18÷3+5+2)$
$=5(6+5+2)$ (Solving terms with the division operator using PEMDAS)
$=5\left(13\right)$
$=513=65,$ which is not equal to $80.$

Option b
$5(18÷3+52)$
$=5(18÷3+10)$ (Solving terms with the multiplication operator using PEMDAS)
$=5(6+10)$ (Solving terms with the division operator using PEMDAS)
$=5\left(16\right)$
$=516=80$, which is equal to $80$.

Option c
$5\left[\right(18+3)÷7\times 2]$
$=5[21÷7\times 2]$ (Solving terms within the parentheses using PEMDAS)
$=5[3\times 2]$ (Solving terms with the division operator PEMDAS)
$=5\left(6\right)$
$=5\times 6=30$, which is not equal to $80$.

Option d
$5(18÷3-5)$
$=5(6-5)$ (Solving terms with the division operator using PEMDAS)
$=5\left(1\right)$
$=5\times 1=5,$ which is not equal to $80$.