Alice bought 12 apples and oranges for $2.51. If an apple cost .25 and an orange cost .18, how many of each did she buy?

Question

The problem's at the top. That's all the info 

Answer 1

x = # of apples purchased

y = # of oranges purchased

 

Equation 1:   x + y = 12

Equation 2:  .25x + .18y = $2.51

 

Solve for a variable in one equation and plug your answer into the remaining equation.

 

x + y = 12  (solve for y)

 

y = 12 - x

 

Insert your y value into equation 2, and solve for x

 

.25x + .18y = $2.51

 

.25x + .18(12 - x) = $2.51

 

Solve for x

 

.25x + 2.16 - .18x = 2.51

 

.07x + 2.16 = 2.51

 

.07x = .35

 

x = 5

 

Plug in your x value into Equation 1...

 

x + y = 12

 

and solve for y

 

(5) + y = 12

 

y = 7

 

Alice bought 5 apples and 7 oranges