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Derrick has 22 dollars. Colleen has
x dollars. Which of the following represents the total amount of money Derrick and Colleen have, in dollars?
Choose 1 answer:
(A)
x-22
(B)
x+22
(c)
22 x
(D)
22 x+22

Derrick has $\mathbf{2 2}$ dollars. Colleen has $x$ dollars. Which of the following represents the total amount of money Derrick and Colleen have, in dollars? $\newline$ Choose $1$ answer: $\newline$ (A) $x-22$ $\newline$ (B) $x+22$ $\newline$ (C) $22 x$ $\newline$ (D) $22 x+22$

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Quantities that combine to zero: word problems

Full solution

Q. Derrick has

\mathbf{2 2}

dollars. Colleen has

x

dollars. Which of the following represents the total amount of money Derrick and Colleen have, in dollars?

\newline

Choose

1

answer:

\newline

(A)

x-22

\newline

(B)

x+22

\newline

(C)

22 x

\newline

(D)

22 x+22

Step $1$ : Add Derrick's money to Colleen's money: To find the total amount of money both Derrick and Colleen have together, we need to add the amount Derrick has to the amount Colleen has. $\newline$ Derrick has $\$22$ , and Colleen has $\$x$ . So, we add these two amounts together. $\newline$ Calculation: $22 + x$
Step $2$ : Check the given options: Now, we need to check the given options to see which one matches our calculation. $\newline$ (A) $x - 22$ (This would mean Colleen has $\$22$ less than Derrick, which is not what we're looking for.) $\newline$ (B) $x + 22$ (This matches our calculation and represents the total amount of money they have together.) $\newline$ (C) $22 \times x$ (This would mean Colleen has $22$ times more money than the amount we're given for Derrick, which is not correct.) $\newline$ (D) $22 \times x + 22$ (This would mean Colleen has $22$ times more money than Derrick plus an additional $\$22$ , which is not correct.)

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