Suppose the group also pays [tex]$\$[/tex] 75[tex]$ for admission to the aquarium and that the cost for posters is $[/tex]\[tex]$ 4$[/tex] instead of [tex]$\$[/tex] 6[tex]$. The expression that represents the total cost would be $[/tex]75+4 \times(32-8)$.

Evaluate the expression, explaining each of your steps.



Answer :

Certainly! Let's evaluate the expression [tex]\( 75 + 4 \times (32 - 8) \)[/tex] step by step.

1. Subtract Inside the Parentheses:
First, we need to evaluate the operation inside the parentheses:
[tex]\[ 32 - 8 = 24 \][/tex]

2. Multiply:
Next, we perform the multiplication:
[tex]\[ 4 \times 24 = 96 \][/tex]

3. Add:
Finally, we add the result of the multiplication to the fixed cost of admission:
[tex]\[ 75 + 96 = 171 \][/tex]

So, the total cost evaluated from the expression [tex]\( 75 + 4 \times (32 - 8) \)[/tex] is [tex]$171. Additionally, the cost of the posters alone can be noted as $[/tex]\[tex]$ 96$[/tex]. Thus, breaking down the expenses, we have:

- Cost of posters: [tex]$\$[/tex] 96[tex]$ - Total cost: $[/tex]\[tex]$ 171$[/tex]