Question

At an ice cream shop, the cost of 4 milkshakes and 2 ice cream sundaes is $23.50. The cost of 8 milkshakes and 6 ice cream sundaes is $56.50.

What is the price of an ice cream sundae?

Answer 1

To find the price of an ice cream sundae, the given information can be used to create a system of equations. By solving the system using the elimination method, we find that the price of an ice cream sundae is $4.75.

Step-by-step explanation:

To solve this problem, we can use a system of equations. Let's assign variables to the cost of a milkshake and an ice cream sundae. Let's say the cost of a milkshake is 'x' dollars and the cost of an ice cream sundae is 'y' dollars.

From the given information, we can write the following equations:

4x + 2y = 23.50 (equation 1)

8x + 6y = 56.50 (equation 2)

We can solve this system of equations using the substitution method or the elimination method. Let's use the elimination method:

Multiplying equation 1 by 3, we get:

12x + 6y = 70.50 (equation 3)

Subtracting equation 2 from equation 3, we get:

4x = 14 (equation 4)

Dividing both sides of equation 4 by 4, we find:

x = 3.50

Now, substituting the value of x in equation 1, we have:

4(3.50) + 2y = 23.50

14 + 2y = 23.50

2y = 9.50

y = 4.75

Therefore, the price of an ice cream sundae is $4.75.

Answer 2

The price of an ice cream sundae is $4.75.

Step-by-step explanation:

Let m be the cost of one milkshake and s be the cost of one ice cream sundae.

4m + 2s = 23.50 -------> 8m + 4s = 47.00

8m + 6s = 56.50 -------> 8m + 6s = 56.50

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2s = 9.50

s = 4.75