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Susan owns 20 board games and 8 card games. What is the ratio of the number of board games to the number of card games she owns?
Choose 1 answer:
(A)
1:2
(B)
2:1
(C)
2:5
(D)
5:2

Susan owns $20$ board games and $8$ card games. What is the ratio of the number of board games to the number of card games she owns? $\newline$ Choose $1$ answer: $\newline$ (A) $1: 2$ $\newline$ (B) $2: 1$ $\newline$ (C) $2: 5$ $\newline$ (D) $5: 2$

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Solve a system of equations using any method: word problems

Full solution

Q. Susan owns

20

board games and

8

card games. What is the ratio of the number of board games to the number of card games she owns?

\newline

Choose

1

answer:

\newline

(A)

1: 2

\newline

(B)

2: 1

\newline

(C)

2: 5

\newline

(D)

5: 2

Identify Games Owned: Identify the number of board games and the number of card games Susan owns. $\newline$ Board games: $20$ Card games: $8$
Write Ratio: Write the ratio of the number of board games to the number of card games. $\newline$ The ratio is $20 : 8$ .
Simplify Ratio: Simplify the ratio by dividing both terms by the greatest common divisor, which is $4$ . Simplified ratio: $20 \div 4 : 8 \div 4$ which equals $5 : 2$ .
Choose Correct Answer: Choose the correct answer from the given options. $\newline$ The simplified ratio of the number of board games to the number of card games Susan owns is $5 : 2$ , which corresponds to option $(D)$ .

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