Question

writing a system of linear equations lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50. ari buys 3 pounds of apples and 2 pounds of bananas for a total of $5.25. determine a system of equations that represents the given the situation. let x be cost per pound of apples and let y be the cost per pound of bananas. which equation represents the amount of money lydia spent of apples and bananas? x + y = 8.50 5x + 3y = 8.50 3x + 2y = 5.25 8.50x + 5.50y = 13 ents the amount of money ari ananas?

Explanation:

Step1: Define variables

Let $x$ = cost per pound of apples, $y$ = cost per pound of bananas.

Step2: Lydia's total cost equation

Lydia buys 5 lbs apples + 3 lbs bananas for $8.50:
$5x + 3y = 8.50$

Step3: Ari's total cost equation

Ari buys 3 lbs apples + 2 lbs bananas for $5.25:
$3x + 2y = 5.25$

Answer:

Equation for Lydia's spending: $\boldsymbol{5x + 3y = 8.50}$
Equation for Ari's spending: $\boldsymbol{3x + 2y = 5.25}$