At Demeter Deals, the cost of 3 apples and 4 bananas is $4.23, and the cost of 5 apples and 7 bananas is $7.16. At these prices, what would be the cost of 1 apple and 1 banana?

Answer:cost of 1 apple= $ 2.91and the cost of 1 banana=$ 0.33Cost of 1 apple and 1 banana= $ 3.24Step-by-step explanation:Let the cost of 1 apple= $xand the cost of 1 banana=$ yThe cost of 3 apples and 4 bananas is $4.23.i.e.3x+4y=4.23------(1)and the cost of 5 apples and 7 bananas is $7.16.i.e.5x+7y=7.16-----------(2)On multiplying equation (1) by 5 and equation (2) by 3 and subtracting equation (1) from equation (2) we have:y=0.33and putting the value of y in equation (1) we have:x=2.91Hence, we have: cost of 1 apple = $ 2.91and cost of 1 banana= $ 0.33This means that the combined cost of 1 apple and 1 banana is: = $ (2.91+0.33)= $ 3.24