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

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.