In her wallet, ms. thompson has one-dollar, five-dollar and ten-dollar bills totaling $171. she has the same number of five-dollar bills as one-dollar and ten-dollar bills put together, if she has 30 bills in all, how many bills of each denomination does she have?

 6 one-dollars = $6 15 five-dollars = $75 9 ten-dollars = $90 Add them all up to get $171, so that is correct. Add the number of one-dollar bills and the number of ten-dollar bills together. 6 + 9 = 15, which is the number of five-dollar bills, so that is correct as well. Add all the numbers of bills together, 6 + 9 + 15 = 15 + 15 = 30.