Afarmer sold 54 pumpkins the first weekend of a fall festival and 42 pumpkins the second weekend.

which expression uses the distributive property to show equivalent expressions for this situation?

a. 54 + 42 = (3)(18) + (6)(7)
b. 54 + 42 = (9)(10) + 6
c. 54 + 42 = 90 + 6
d. 54 + 42 = 6(9 + 7)

D. 54 + 42 = 6(9 + 7)

Step-by-step explanation:

Given three variables A, B and C, according to distributive law;

A(B+C) = AB+AC

A is distributed over B and C

If a farmer sold 54 pumpkins the first weekend of a fall festival and 42 pumpkins the second weekend, the total number of pumpkins sold is expressed as:

54 + 42

To express this sum using the distributive law, we will find a largest common factor of 54 and 42 and factor it out from the sum to have;

54 + 42 = 6(9) + 6(7)

54 + 42 = 6(9 + 7)

As we can see, 6 is distributed over 9 and 7

Option D is correct