To determine the correct ratio of Pitchers cards to Infield cards in Chad's deck, follow these steps:
1. Identify the quantities of each card type:
- Chad has 2 Pitchers cards.
- Chad has 4 Infield cards.
2. Formulate the ratio of Pitchers cards to Infield cards:
- The ratio is given by dividing the number of Pitchers cards by the number of Infield cards.
- [tex]\[\text{Ratio of Pitchers to Infield cards} = \dfrac{\text{Number of Pitchers cards}}{\text{Number of Infield cards}} = \dfrac{2}{4}\][/tex]
3. Simplify the ratio:
- To simplify the fraction [tex]\(\dfrac{2}{4}\)[/tex], divide both the numerator and the denominator by their greatest common divisor, which is 2:
- [tex]\[\dfrac{2}{4} = \dfrac{2 \div 2}{4 \div 2} = \dfrac{1}{2}\][/tex]
4. Interpret the simplified ratio:
- The simplified ratio [tex]\(\dfrac{1}{2}\)[/tex] can be interpreted as 1 Pitcher card for every 2 Infield cards.
Now, review the possible statements based on the ratio [tex]\(\dfrac{2}{4}\)[/tex] which simplifies to [tex]\(\dfrac{1}{2}\)[/tex]:
A. The ratio of Pitchers to Infield cards is [tex]\(\dfrac{1}{2}\)[/tex].
B. The ratio of Pitchers to Infield cards is [tex]\(\dfrac{2}{4}\)[/tex].
C. Ratio can be simplified since [tex]\(\dfrac{2}{4}\)[/tex] is equivalent to [tex]\(\dfrac{1}{2}\)[/tex].
- Statement A is true because the simplified ratio [tex]\(\dfrac{1}{2}\)[/tex] correctly represents the relationship between the number of Pitchers cards and Infield cards.
- Statement B is true because [tex]\(\dfrac{2}{4}\)[/tex] is the initial form of the ratio before simplification.
- Statement C is true because [tex]\(\dfrac{2}{4}\)[/tex] can indeed be simplified to [tex]\(\dfrac{1}{2}\)[/tex].
Therefore, the true statements are:
- A. The ratio of Pitchers to Infield cards is [tex]\(\dfrac{1}{2}\)[/tex].
- B. The ratio of Pitchers to Infield cards is [tex]\(\dfrac{2}{4}\)[/tex].
- C. Ratio can be simplified since [tex]\(\dfrac{2}{4}\)[/tex] is equivalent to [tex]\(\dfrac{1}{2}\)[/tex].
