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

y= -x+60

2.75x+3.25y= 172.50

Explanation:

The sum of the variables gives the total, 60, so x+y=60, which is equivalent to y=60−x. The cost of the pineapple smoothie, 2.75, times x plus the cost of the mango smoothie, 3.25, times y gives the total amount, $172.50. So the second equation is 2.75x+3.25y=172.50.

Answer 2

x = 45

y = 15

Explanation:

Given that:

x = pineapple smoothies

y = mango smoothies

According to given conditions:

x + y = 60.................... eq1

$2.75 x + $3.25y = $172.50 ............ eq2

By taking eq1

x + y = 60

x = 60 - y

Putting value of x in eq2

$2.75 (60 - y) + $3.25y = $172.50

By simplifying

$165 - $2.75y + $3.25y = $172.50

Adding like terms:

$0.5y = $172.50 - $165

$0.5y = $7.5

Dividing both sides by $0.5

y =7.5/0.5

y =15

Putting value of y in eq 1

x + 15 = 60

x = 60 -15

x = 45

So there are 45 pineapple smoothies and 15 mango smoothies.

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