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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 2,2, 5 and 10notesdonatedareintheratioof9:2:5.49ofthe10-notes donated are in the ratio of 9 : 2 : 5.49 of the 2-notes and 10 5notesaretakenout.Theremainingnotesareworth5-notes are taken out. The remaining notes are worth 300. How many $10-notes are there?

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Solution

To solve this problem, we need to follow these steps:

  1. First, we need to understand the ratio of the notes. The ratio of 2,2, 5, and 10notesis9:2:5.Thismeansforevery910 notes is 9:2:5. This means for every 9 2-notes, there are 2 5notesand55-notes and 5 10-notes.

  2. We know that 49 of the 2notesand102-notes and 10 5-notes are taken out. We need to subtract these from the total value of the remaining notes, which is 300.So,49300. So, 49 2-notes equals 98and1098 and 10 5-notes equals 50.Subtractingthesefrom50. Subtracting these from 300 gives us $152.

  3. 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.

  4. Finally, we need to find out how many 10notesthereare.Sincetheratioof10-notes there are. Since the ratio of 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.

This problem has been solved

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