Question

(writing two-step equations mc) four friends ate lunch and spent a total of $41.28. they each bought the same meal for $8.32, and they each bought the same dessert. write and solve an equation to determine the cost of the dessert, d. 4(8.32 d) = 41.28; d = 2.00 4(8.32) d = 41.28; d = 8.00 4(8.32)d = 41.28; d = 1.24 4d 8.32 = 41.28; d = 8.24

Answer 1

d = $2.00

Explanation:

Since the the total cost of the meal between the four friends is $41.28 and each friend bought the same meal for $8.32 and the same dessert, d, we can model this using the following equation:

41.28 = 4(8.32) + 4(d)

Now we can solve for d, the cost of a single dessert

Step 1: Distribute the 4s to 8.32 and d:

41.28 = 33.28 + 4d

Step 2: Subtract 33.28 from both sides:

(41.28 = 33.28 + 4d) - 33.28

8 = 4d

Step 3: Divide both sides by 4 to solve for d, the cost of a single dessert:

(8 = 4d) / 4

2 = d

Thus, each dessert costs $2.00