1. A bakery sells two types of cookies, chocolate chip and oatmeal raisin. The total cost of 3 chocolate chip cookies and 2 oatmeal raisin cookies is $5.50. The total cost of 2 chocolate chip cookies and 4 oatmeal raisin cookies is $6. How much does each type of cookie cost?
Let x be the cost of a chocolate chip cookie and y be the cost of an oatmeal raisin cookie.
Equation 1: 3x + 2y = 5.50
Equation 2: 2x + 4y = 6
2. A farmer has a total of 20 animals on his farm, consisting of chickens and cows. The total number of legs on the farm is 50. How many chickens and cows does the farmer have?
Let x be the number of chickens and y be the number of cows.
Equation 1: x + y = 20
Equation 2: 2x + 4y = 50
3. A store sells two types of fruit baskets, one made of apples and oranges, and the other made of bananas and strawberries. The total cost of 2 apple and 3 orange baskets is $30. The total cost of 3 banana and 4 strawberry baskets is $40. How much does each type of basket cost?
Let x be the cost of an apple basket, y be the cost of an orange basket, z be the cost of a banana basket, and w be the cost of a strawberry basket.
Equation 1: 2x + 3y = 30
Equation 2: 3z + 4w = 40
real world systems of equations practice
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