Q29. - Algebra 1

Question

The sign shows the equipment rented or sold by a scuba diving store.

1. Write two expressions to represent the total sales to rent 2 wet suits, 3 air tanks, 2 dive flags and selling 5 underwater cameras.
2. What are the total sales?

Step-by-Step Solution

Answer

1. Two expressions are: $\mathbf{2}\mathbf{\times }\mathit{\$}\mathbf{10}\mathbf{.95}\mathbf{+}\mathbf{3}\mathbf{\times }\mathit{\$}\mathbf{7}\mathbf{.50}\mathbf{+}\mathbf{2}\mathbf{\times }\mathit{\$}\mathbf{5}\mathbf{.00}\mathbf{+}\mathbf{5}\mathbf{\times }\mathit{\$}\mathbf{18}\mathbf{.99}$ and $\mathbf{2}\mathbf{\times }\left(\$10.95+\$5.00\right)\mathbf{+}\mathbf{3}\mathbf{\times }\mathit{\$}\mathbf{7}\mathbf{.50}\mathbf{+}\mathbf{5}\mathbf{\times }\mathit{\$}\mathbf{18}\mathbf{.99}$.
2. $\mathbf{Total}\mathbf{ }\mathbf{sales}\mathbf{ }\mathbf{=}\mathbf{\$}\mathbf{149}\mathbf{.}\mathbf{35}$ 

Part a. Step 1 – Given information.

Given rent of 1 air tank is $7.50, 1 wet suit is $10.95 and rent of  dive flag is $5.00.

Also, the rent of underwater camera is $18.99.

Part a. Step 2 – Write the 1 st expression.

The rent of 2 wet suits = $2\times \$10.95$

Rent of 3 air tanks = $3\times \$7.50$

Rent of 2 dive flags = $2\times \$5.00$

And rent of 5 underwater cameras = $5\times \$18.99$ 

So, total sales is:

$2\times \$10.95+3\times \$7.50+2\times \$5.00+5\times \$18.99$

Part a. Step 3 – Write the 2 nd expression.

The expression $2\times \$10.95+3\times \$7.50+2\times \$5.00+5\times \$18.99$ can be written as in below.

$2\times \left(\$10.95+\$5.00\right)+3\times \$7.50+5\times \$18.99$

This is the required 2^nd expression.

Part b. Step 1 – Given information

Given rent of 1 air tank is $7.50, 1 wet suit is $10.95 and rent of  dive flag is $5.00.

Also, the rent of underwater camera is $18.99.

Part b. Step 2 – Write the expression.

The rent of 2 wet suits = $2\times \$10.95$

Rent of 3 air tanks = $3\times \$7.50$

Rent of 2 dive flags = $2\times \$5.00$

And rent of 5 underwater cameras = $5\times \$18.99$

So, total sales is:

$2\times \$10.95+3\times \$7.50+2\times \$5.00+5\times \$18.99$

Part b. Step 3 – Evaluate the expression.

The expression $2\times \$10.95+3\times \$7.50+2\times \$5.00+5\times \$18.99$ can be simplify as in below.

$\begin{array}{l}2\times \$10.95+3\times \$7.50+2\times \$5.00+5\times \$18.99\\ =2\times \left(\$10.95+\$5.00\right)+3\times \$7.50+5\times \$18.99\\ =2\times \left(\$15.95\right)+\$22.50+\$94.95\\ =\$31.9+\$117.45\\ =\$149.35\end{array}$