1. A bakery sells muffins for $2 each and cookies for $1 each. On a certain day, the bakery sold a total of 50 items and made $80 in sales. Write a system of equations to represent this situation.
Let M be the number of muffins sold and C be the number of cookies sold.
M + C = 50 (total number of items sold)
2M + C = 80 (total sales amount)
2. A farmer has a total of 60 animals on his farm, which are either chickens or pigs. The total number of legs on the farm is 160. Write a system of equations to represent this situation.
Let C be the number of chickens and P be the number of pigs.
C + P = 60 (total number of animals)
2C + 4P = 160 (total number of legs)
3. Lisa and Sarah each have some money saved up. Lisa has $20 more than Sarah. Together, they have $80 saved up. Write a system of equations to represent this situation.
Let L be the amount of money Lisa has saved and S be the amount of money Sarah has saved.
L = S + 20 (Lisa has $20 more than Sarah)
L + S = 80 (total amount of money saved)
Real world systems of equations quick check
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