Practice 3 Ivan is having a party and decided to buy chips and soda to serve his guests. It costs $2 per bottle of soda
and $3 per bag of chips. At the store, he purchased 10 items total and was charged $24. How many
bottles of soda did he buy? How many bags of chips did he buy?
a. Write a system of equations to represent this scenario using x to represent the number of bottles of
soda and y to represent the number of bags of chips.

x = 6, y = 4

Step-by-step explanation:

Soda = $2 per bottle

Chips = $3 per bag

x- no of bottles of soda

y- no of bags of chips

x + y = 10

2x + 3y = 24

x = 10 - y

2x + 3y = 24

2(10 - y) + 3y = 24

20 - 2y + 3y = 24

Collect like terms

-2y + 3y = 24 - 20

y = 4

x = 10 - y

x = 10 - 4

x = 6

450 liters

Step-by-step explanation:

It is given that the orchard produces 3000 pounds of oil in a year

Again, we're told that 20 pounds of olives makes 3 liters of oil

Then we're asked to find how many liters of oil the orchard can produce in a year.

If 3000 pounds of olives gets produced in a year

If 20 pounds of olives makes 3 liters of oil, then 3000 pounds of olives will make

3000 / 20 * 3 liters of oil

150 * 3 liters of oil

450 liters of oil

Essentially, the 3000 pounds of olive that the orchard produces in a year will produce a total of 450 liters of oil in a year also