Question

Tanya bought apples and oranges she bought 12 pieces of fruit and spent $5 apples cost $0.50 each and oranges cost $0.25 each how many apples and how many oranges did tanya buy.

Answer 1

Let x be the number of apples and y be the number of oranges. We can set up a system of equations based on the given information:



Total number of fruits: x + y = 12 (12 pieces of fruit)

Total cost: 0.5x + 0.25y = 5 ($5 spent)

Now we need to solve this system of equations to find x and y. Here are two methods:



Method 1: Substitution:



Solve the first equation for x: x = 12 - y

Substitute this expression for x in the second equation: 0.5(12 - y) + 0.25y = 5

Simplify and solve for y: 6 - 0.5y + 0.25y = 5

Combine like terms: 0.25y = 1

Divide both sides by 0.25: y = 4

Substitute y back into the first equation to find x: x = 12 - 4 = 8



Therefore, Tanya bought 8 apples and 4 oranges.