Alg 15.0 Mixture and Investment Word Problems Name______

  1. Billy invests an amount at 7% interest and $1,000 more at 9% interest. If the total interest earned from the 2 accounts for a year is $218, how much was invested in each account?
  1. Charlie invests $4,000 – part of it at 10% annual interest and the rest at 12% annual interest. If he earned $460 in interest at the end of one year, how much did he invest at each rate?
  1. An amount of money is invested at 5% and twice as much is invested at 6%. If the total income from the investments is $34, how much money is invested at each rate?
  1. Dried apricots worth $5.75 a pound were mixed with dried prunes worth $3.80 a pound to produce a mixture worth $4.25 a pound. How much of each kind of fruit was used to produce 52 pounds of mix?
  1. At a spring concert, tickets for adults were sold for $4 and tickets for students were sold for $2.50. How many of each kind of ticket were purchased if 125 were bought for $413?
  1. How much 40% acid solution must be added to 40 ml of 90% acid solution to make an 80% solution?
  1. Jimmy is investing $2000, part at 6% interest and the rest at 8% interest. If the total income from the investments is $150, how much is invested at each rate?
  1. An amount of money is invested at 8% and twice as much invested at 7%. If the total income from the investments is $154, how much money is invested at each rate?
  1. Ann invests $800 more in the account paying 5% than the amount she invests at 6%. If she received $194 in interest for a year, how much was invested in each account?
  1. Maria invested $2,000, some at 3% and the rest at 7%. If the total income from the investment is $90, how much was invested at each rate?
  1. The total cost for a family pack of tickets is $62. If an adult ticket costs $6 more than a child’s ticket, what was the cost of each, assuming that 2 adults and 2 children attended?
  1. Concert tickets were $5 for balcony seats and $10 for orchestra seats. If attendance was 600 and total receipts were $4750, how many people bought orchestra seats?
  1. Tin that was 35% pure was melted with tin that was 45% pure to make 20 kilograms of tin that was 39% pure. How many kilograms of each were used?
  1. How many grams of 55% boric acid solution must be added to 20 grams of 10% boric acid solution to produce a 50% boric acid solution?
  1. How many grams of 80% hydrochloric acid solution must be added to 40 grams of 15% hydrochloric acid solution to produce a 40% hydrochloric acid solution?
  1. George has $500 more invested at 3% than he does at 5%. If the interest from the two accounts is equal, how much did he invest at each rate?
  1. Two investments are made totaling $15,000. For a certain year, these investments yield $1432 in simple interest. Part of the $15,000 is invested at 9% and part at 10%. Find the amount invested at each rate.
  1. Peanuts worth $2.90 a pound were mixed with cashews worth $4.60 a pound to make a mixture worth $3.50 a pound. How many pounds of each kind were used to make 51 pounds of the mix?
  1. Coffee worth $2.95 a pound was mixed with coffee worth $3.50 a pound to make a blend worth $3.30 a pound. How many pounds of each kind were used to make 44 pounds of blended coffee?
  1. Suppose you invested $10,000, part at 6% annual interest and the rest at 9% annual interest. If you received $684 in interest after one year, how much did you invest at each rate?