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Question
for typical pizza stores are selling with toppings to come dinner. - the store is selling toppings for $2.05 each and has already earned $300. - the owner wants to make at least $225 more and has already spent $3.15. which equation could be used to find ( x ), the number of toppings each store needs to sell to meet (circ 2.05x + 300 = 225)(circ 2x + 300 = 2.05x + 225)(circ) not here(circ 300 + 2.05x = 225 + 3) check 48
Step1: Define given values
Let total tables needed = $x$.
Cost per table: $\$2.50$, Fixed cost: $\$310$, Total budget: $\$1000$
Step2: Set up cost equation
Total cost = Fixed cost + (Cost per table $\times$ Number of tables)
$$1000 = 310 + 2.50x$$
Step3: Solve for $x$
Subtract 310 from both sides:
$$1000 - 310 = 2.50x$$
$$690 = 2.50x$$
Divide both sides by 2.50:
$$x = \frac{690}{2.50} = 276$$
Step4: Match to correct expression
Rearrange the cost equation to match options:
$$2.50x + 310 = 1000 \implies 1000 - 310 = 2.50x \implies 690 = 2.50x$$
This is equivalent to $690 \div 2.50 = 276 = x$
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$\boldsymbol{690 \div 2.50 = 276 \div 3}$ (This option corresponds to the correct calculation, as $690 \div 2.50 = 276$)