Students are donating money to a charity fund that helps less privileged kids. The number of $2, $5 and $10-notes donated are in the ratio of 9 : 2 : 5.49 of the $2-notes and 10 $5-notes are taken out. The remaining notes are worth $300. How many $10-notes are there?
Question
Students are donating money to a charity fund that helps less privileged kids. The number of 5 and 2-notes and 10 300. How many $10-notes are there?
Solution
To solve this problem, we need to follow these steps:
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First, we need to understand the ratio of the notes. The ratio of 5, and 2-notes, there are 2 10-notes.
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We know that 49 of the 5-notes are taken out. We need to subtract these from the total value of the remaining notes, which is 2-notes equals 5-notes equals 300 gives us $152.
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Now, we need to find out how many notes make up this $152. Since the ratio of the notes is 9:2:5, we can set up the equation 2x + 5x + 10x = 152, where x is the number of sets of notes in the ratio 9:2:5. Solving for x gives us x = 8.
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Finally, we need to find out how many 10-notes to the total number of notes is 5, we multiply 5 by the number of sets of notes, which is 8. So, there are 5 * 8 = 40 $10-notes.
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