Question

Maria made seven dozen peanut butter cookies. Which expression gives the number of cookies she still needs to make?

a) 144−(7×12)144−(7×12)
b) (7×12)+144(7×12)+144
c) (144−7)×12(144−7)×12
d) 7+144×127+144×12

Pam's grandparents pay Pam to help them each week. Which expression shows how much Pam's grandparents will pay her in 7 weeks?

a) (12+7)+(12×2)(12+7)+(12×2)
b) (2×7)+(12×2)(2×7)+(12×2)
c) (12×7)+(2×7)(12×7)+(2×7)
d) (12+7)×(2+7)(12+7)×(2+7)

Answer 1

The correct mathematical expression for the number of peanut butter cookies Maria needs to make to reach her goal of 144 is 144 - (7×12), answer (a). For Pam's payment over 7 weeks from her grandparents, the expression is (12×7) + (2×7), answer (c).

Step-by-step explanation:

Understanding the Mathematical Expressions

Maria made seven dozen peanut butter cookies. If one dozen is equivalent to 12 cookies, then Maria made 7×12 cookies, which totals 84 cookies. If she has a goal of making 144 cookies in total, the number of cookies she still needs to make can be found by subtracting the cookies she has already made (84) from her goal (144). The correct expression for this is 144 - (7×12), so option (a) is the correct answer.

Concerning the question about Pam's grandparents paying her for helping them each week, if Pam gets paid for 7 weeks and the payment is consistent every week, the total amount could be found by multiplying the weekly payment by 7. If she is paid $12 for one type of chore and an additional $2 for another chore, each week she would earn $12 + $2. Over 7 weeks, this would be (12×7) + (2×7), meaning the correct choice is (c).

Answer 2

To calculate the additional number of cookies Maria needs to make, use the expression 144-(7*12). Pam's total pay over 7 weeks is represented by the expression (12*7)+(2*7).

Step-by-step explanation:

Maria made seven dozen peanut butter cookies which amounts to 7×12 cookies. To find out how many more she needs to make to reach a certain number, you subtract the amount she has made (7×12) from the total number she wants to have. The expression that represents this calculation is 144−(7×12).

This corresponds to the first option given. On the other hand, if Pam's grandparents pay her weekly, and we want to know the total amount paid after 7 weeks, we would multiply her weekly pay by 7. The correct expression is (12×7)+(2×7), which adds the weekly base pay (12×7) to the additional pay (2×7).