MPM2D Date: Suva tha Mixture, Measurement and Money 1. Alan has twice as many toonies as five dollar bills. The total of the money is $153. How many fives does he have? (17) 2. The pop machine contained $3.05 made up of dime and quarters. There were 20 coins in all. How many dimes were there? (13) 3. A movie theatre sold twice as many adult tickets as student tickets. The total receipts were $2299. If adult tickets cost $7 and student tickets cost $5, how many of each were sold? (121 student tickets, 242 adult tickets) 4. The school ordered a total of 130 mathematics and history books. A math book costs $89 and a history book costs $78. If the total bill was $10 965, how many math books were purchased? (75) 5. A 21% oil-gas mixture is to be formed by mixing 80% and 20% oil-gas mixtures. If 35 L are required, how much of each should be used? (34.4 L of 20% & 0.6 L of 80%) 6 . A vinegar-water solution is used to wash windows. If 1200 L of a 28% solution are required, how much of 16% and 36% solutions should be used? (480 L of 16%, 720 L of 36%) 7. How many kilograms of 9% silver alloy and 12% silver alloy should be combined to make 500 kg of 10.8% alloy? (200 kg of 9%, 300 kg of 12%) 8. Brand A fertilizer is 32% phosphorus, while Brand B is 18% phosphorus. How much of each must be used to produce 56 t of a 24% mixture? (24 t of Brand A, 32 t of Brand B) 9. Sterling silver is 92.5% pure silver. How many grams of pure silver and sterling silver must be mixed to obtain 100 g of a 94% silver alloy? (80 g sterling; 20 g silver) 10. Jelly beans and mints, worth $2.10/kg and $2.70/kg respectively, were mixed to make 500 kg of mixture which sold for $2.52/kg. How many kilograms of mints were used? (350 kg) 11. Coffee that sells for $7.20/kg is mixed with coffee that sells for $4.80/kg to make 1200 kg of coffee that will sell for $5.50/kg. How many kilograms of each type of coffee were used? (350 kg of $7.20/kg; 850 kg of $5.60/kg) 12. A department store manager decided to mix cashews and pecans to get 400 kg of nuts that sell for $10.08/kg. If cashews sell for $9.60/kg and pecans $10.80/kg, how many kilograms of each type of nuts did she use? (240 kg of cashews; 160 kg of pecans) 13. A store manager mixes tea worth $7.50/kg and tea worth $9.50/kg to make 200 kg of tea that sells for $8.35/kg. How many kilograms of each type of tea does she use? (85 kg at $7.50; 115 kg at $9.50/kg) 14. How many kilograms of soap powder that costs $0.80/kg should be mixed with soap powder that costs $1.50/kg to make 20 kg of a mixture of soap powder to cost $1.01/kg? (14 kg at $0.80/kg; 6 kg at $1.50/kg)