QuestionFirst, complete the story below so that it can be represented by the equation $11 x+10=16 x$ . Then, solve for $x$ . (a) Ann is going to buy $x$ pizzas tonight.
Restaurant A charges \\square $per pizza, and there is a$ \$$ $\square$ (Choose one) $\square$ Restaurant B charges \$ per pizza, with no other charges or discounts. The total cost (with all charges and discounts) is (Choose one) $\square$ (b) For this equation (and story): $x=$ $\square$

Studdy Solution

STEP 1

1. Ann is buying $x$ pizzas.
2. Restaurant A charges a certain amount per pizza plus an additional fixed charge.
3. Restaurant B charges a flat rate per pizza with no additional charges.
4. The total cost from both restaurants should be equal.
5. We need to complete the story to match the equation $11x + 10 = 16x$ and solve for $x$ .

STEP 2

1. Complete the story to match the given equation.
2. Solve the equation for $x$ .

STEP 3

Complete the story to match the given equation $11x + 10 = 16x$ .
- Restaurant A charges \$11 per pizza, and there is a \$10 delivery charge. - Restaurant B charges \$16 per pizza, with no other charges or discounts. - The total cost from both restaurants is equal.

STEP 4

Solve the equation $11x + 10 = 16x$ .
STEP_2.1: Subtract $11x$ from both sides to isolate the constant on one side:
$11x + 10 - 11x = 16x - 11x$ $10 = 5x$
STEP_2.2: Divide both sides by 5 to solve for $x$ :
$x = \frac{10}{5}$ $x = 2$
The solution for $x$ is:
$x = \boxed{2}$

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