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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 7 : 2 : 3. 5 7 of the \$2-notes and 9 \$5-notes are taken out. The remaining notes are worth \$307. How many \$10-notes are there?

May 16, 2023

#1
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Let the initial number of \$2, \$5 and \$10-notes be 7x, 2x and 3x respectively. After 5/7 of the \$2-notes and 9 \$5-notes are taken out, the number of remaining \$2-notes and \$5-notes are 2x and 3x-9 respectively. The total value of the remaining notes is 2x2 + (3x-9)5 + 3x10 = 307 11x = 262 x = 24 Therefore, the number of \$10-notes is 3x = 3*24 = 72. So the answer is 72

May 16, 2023
#2
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T==Two-dollar bills,  F==Five-dollar bills,  N==Ten-dollar bills

T / F ==7/2............................................(1)

T/N=7/3................................................(2)

F/N==2/3..............................................(3)

2*(2/7T) + 5*(F - 9) + 10N==307.........(4), solve for T, F, N

T==56 - 2-dollar bills before withdrawal of 5/7 of them

F==16 - 5-dollar bills before withdrawal of 9 of them

N==24 - 10-dollar bills.

May 16, 2023