Question

How do you solve this problem? Emma and Anna went to the market to buy 25 fruits. Emma got a few apples that cost $2 each, and Anna bought some oranges which cost $3 each. If their combined total is $60, how many oranges did Anna get?

Answer 1

Anna bought 10 oranges

Step-by-step explanation:

Let x denote the number of apples.

Let y denote the number of oranges.

The system of equations can be written as

`x+y=25` and
`2x+3y=60`

Let us solve the equation by substitution method.

Thus, from
`x+y=25`, the value of y can be determined such that
`y=25-x`

Using the y value
`y=25-x` in the equation
`2x+3y=60`, we get,

`2x+3(25-x)=60`

Multiplying 3 within the bracket,

`2x+75-3x=60`

Adding the terms,

`75-x=60`

Subtracting both sides by 75, we have,

`x=15`

Thus, substituting
`x=15` in
`y=25-x`, we get,

`y=25-15\\y=10`

Thus, Anna get 10 Oranges.