Answer
Apple $=60$ calories.
Banana $=87$ calories.
Work Step by Step
Let the calories in one apple is $x$.
and the calories in one banana is $y$.
First condition
Three apples and two bananas equal to 354 calories.
In the equation form.
$3x+2y=354$ ... (1)
Second condition
Two apples and three bananas equal to 381 calories.
In the equation form.
$2x+3y=381$ ... (2)
Multiply equation (1) by $2$. and equation (2) by $3$.
$6x+4y=708$ ... (3)
$6x+9y=1143$ ... (4)
Subtract equation (3) from equation (4).
$6x+9y-6x-4y=1143-708$
$5y=435$
$y=\frac{435}{5}$
$y=87$. Substitute into equation (1).
$3x+2(87)=354$
Simplify.
$3x+174=354$
$3x=354-174$
$3x=180$
$x=\frac{180}{3}$
$x=60$.
