Tutorial Exercise

A caterer made an ice cream punch by combining fruit juice that costs $5.50 per gallon with ice cream that costs $7.50 per gallon. How many gallons of
each were used to make 100 gal of punch costing $5.90 per gallon?

To solve this problem, we can use a system of equations. Let's denote the number of gallons of fruit juice as "x" and the number of gallons of ice cream as "y".

We know the following:

1. The total number of gallons of punch is 100: x + y = 100

2. The cost of the fruit juice is $5.50 per gallon, and the cost of the ice cream is $7.50 per gallon, and the total cost of the punch is $5.90 per gallon: 5.50x + 7.50y = 5.90 100

We can solve this system of equations using substitution or elimination. I will use substitution.

- We can express x in terms of y from the first equation: x = 100 - y

- Substitute the value of x in the second equation: 5.50(100 - y) + 7.50y = 5.90 100

Now we can solve for y:

550 - 5.50y + 7.50y = 590

2y = 590 - 550

2y = 40

y = 20

Now that we know y = 20, we can find the value of x:

x = 100 - y

x = 100 - 20

x = 80

So, 80 gallons of fruit juice and 20 gallons of ice cream were used to make 100 gallons of punch costing $5.90 per gallon.

Tutorial Exercise A caterer made an ice cream punch by combining fruit juice that costs $5.50 per gallon with ice cream that costs $7.50 per gallon. How many gallons of each were used to make 100 gal of punch costing $5.90 per gallon?

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Tutorial Exercise

A caterer made an ice cream punch by combining fruit juice that costs $5.50 per gallon with ice cream that costs $7.50 per gallon. How many gallons of
each were used to make 100 gal of punch costing $5.90 per gallon?