Question

41. Malik makes fruit baskets as gifts. Each basket contains apples andoranges. Malik pays x dollars for each apple and y dollars for each orangeThe expression shown represents the total price, in dollars, Malik pays forall the fruit in the baskets.30x + 24yMalik created a new expression to identify how many baskets weremade, but smeared the first number with his hand as he was writing.(5x + 4y)Identify the missing number for the box that would create an expressionequivalent to the original.O COOOGOOOOOOOOOOOOJOOOOOOOO

Answer 1

The expression representing the total price, in dollars, Malik pays for all the fruit in the baskets is

30x + 24y

The new expression that he created is (5x + 4y)

the first number(outside the bracket) was smeared. By relating both expressions, we can see that the first expression was factorized by dividing each term inside the bracket by 6

30x/6 = 5x

24y/6 = 4y

Thus, the second expression would be

6(5x + 4y)

Thus, the number that was smeared is 6