Answer:
Diana approximately had 128 cards
Step-by-step explanation:
Let n be the number of cards Diana had. She knows that
- there are 17 kings among n cards
- 4 kings among 30 cards
Write a proportion:
[tex]\dfrac{17}{n}=\dfrac{4}{30}[/tex]
Cross multiply:
[tex]4n=17\cdot 30\\ \\4n=510\\ \\n=\dfrac{510}{4}=127.5\approx 128[/tex]
