Question

A shop sells pineapple smoothies for $ 2.75 and mango smoothies $ 3.25 . On Saturday, a total of 60 cups were used to serve smoothies, and the register showed that a total of $ 172.50 was collected from smoothie sales. Let x represent the number of pineapple smoothies and y represent the number of mango smoothies. Which system of equations represents the situation?

Answer 1

Answer:

2.75x + 3.25y = 172.50 ... Equation 1

x + y = 60 ... Equation 2

Explanation:

Where x = number of pineapple smoothies and

            y = number of mango smoothies

Also given that, cost of pineapple smoothies = $ 2.75

and cost of mango smoothies = $ 3.25

The total sales made by the company is the addition of the sum made from mango smoothies and pineapple smoothies.

Total amount made from pineapple smoothies = cost of pineapple smoothies × number of pineapple smoothies sold

= 2.75 × x

= 2.75x

Total amount made from mango smoothies = cost of mango smoothies × number of mango smoothies sold

= 3.25 × y

= 3.25y

Therefore where total sales = $172.50

2.75x + 3.25y = 172.50

Also, since there were 60 cups used in all. Where a cup is used for a smoothie,

x + y = 60

Therefore the equations representative of the situation are

2.75x + 3.25y = 172.50

and

x + y = 60