Ryan G.

asked • 11/26/13# How many rolls of each coin does he have?

## 2 Answers By Expert Tutors

Brad M. answered • 11/26/13

Lines, Parabolas, Cubics, Polynomials, Sine Waves, and Exp-Log Curves

**5N:2D:5Q**... Best regards, sir :)

Alex S. answered • 11/26/13

Retired, Looking to Share My Love of Mathematics and Computers

**d is number of rolls of dimes**

**n is number of rolls of nickels**

**q is number of rolls of nickels**

**d+n+q=12 (total number of rolls)**

**n=d+3 (3 more rolls of nickels than rolls of dimes)**

**50*.1*d+40*.05*n+40*.25*q=70 (sum of coins in roll, value of each coin, number of rolls equals total vale)**

**want to to take it from there? Solve the three equations simultaneously, you'll get the number of rolls for each type of coin!**

**============================**

**d+n+q = 12**

**n=d+3**

**5d+2n+10q=70**

**5d+2(d+3)+10q=70**

**5d+2d+6+10q=70**

**7d+10q+6=70**

**7d+10q=64**

**d+d+3+q=12**

**2d+q+3=12**

**2d+q=9**

**20d+10q=90**

**20d+10q=90**

**-7d-10q=-64**

**13d=26**

**d=2 (numbr of dime rolls, value $10)**

**n=d+3=5 (number of nickel rolls, value $10)**

**2+5+q=12**

**q= 5 (number of quarter rolls, value $50)**

**check total value is $70 ... correct**

**check total number of rolls is 12 ... correct**

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