Question 371188
Let d= number of dimes. Let q= number of quarter. Write an equation that relates the amount of money: {{{0.10d+0.25q=6.00}}}. Then write an equation to relate the number of dimes and quarters: {{{d+q = 39}}}. Solve the second equation for q by subtracting d from both sides: {{{q=39-d}}}. Now plug this second equation into the first equation: {{{0.10d+0.25(39-d)=6.00}}}. Solve for d to get d = 25. Then plug this into {{{d+q = 39}}} and solve for q to find q=14. The number of dimes is 25 and the number of quarters is 14. I hope this helps. Please visit and join my website at www.myonlinetutor.webs.com for homework help. Thanks!