A local dumpling shop sold 85,248 dumplings last year. Each plate of dumplings sells for $9.89, and there are 12 dumplings per plate. Which value best estimates the shop’s total earnings from selling dumplings?(1 point)

Question

Responses

800,000
800,000

8,000
8,000

8,000,000
8,000,000

80,000

Answer 1

To find the shop's total earnings from selling dumplings, we need to multiply the number of plates sold by the price per plate.

The number of plates sold is given by dividing the total number of dumplings sold by the number of dumplings per plate:

Number of plates = Total dumplings sold / Dumplings per plate
Number of plates = 85,248 dumplings / 12 dumplings per plate
Number of plates ≈ 7104 plates

The price per plate is given as $9.89.

Total earnings = Number of plates * Price per plate
Total earnings ≈ 7104 plates * $9.89
Total earnings ≈ $70,352.56

Therefore, the value that best estimates the shop's total earnings from selling dumplings is $70,352.56, which is closest to 80,000.

Answer 2

Tickets to the baseball game are on sale for $1.50 off the regular price. Dea buys 6 tickets. If her total cost is $51, what is the regular price of each ticket? Write and solve an equation of the form p(x±q)=r . Then write a sentence to explain your answer.(4 points)

Answer 3

Let's represent the regular price of each ticket as "p". Since Dea buys 6 tickets and her total cost is $51, we can write the equation:

6(p - $1.50) = $51.

To solve for p, we will distribute the 6 on the left side of the equation:

6p - 6($1.50) = $51.

Simplifying the equation further, we get:

6p - $9 = $51.

Next, we will isolate the variable by adding $9 to both sides:

6p = $51 + $9,
6p = $60.

Finally, we divide both sides of the equation by 6 to solve for p:

p = $60 / 6,
p = $10.

Therefore, the regular price of each ticket is $10.

In summary, the equation 6(p - $1.50) = $51 represents the discounted price of the tickets. After solving the equation, it was found that the regular price of each ticket is $10.