Questions and Answers
Which equation can be used to find d, the number of dollar coins Giuliana has?
What is the value of x when Dr. Bhatia mixes 2 liters of a 5% saline solution with x liters of a 9% saline solution?
How much cream is in the mixture if the total volume is 1 cup with various fat percentages?
Which value could replace x in the total weight of 45 copies of the book?
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Which equation can be used to find x, the amount of 60% mixture used to create the 65% mixture of brass?
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Which value could replace q on the chart for a collection of quarter and nickel coins?
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Which equation is true for the rides on the roller coaster and the boat ride?
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What is the value of x, the concentration of the unknown ethanol solution?
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What is the value of z in the mixture of peroxide solutions?
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Which equation is true for the sales of lemonade and hot dogs?
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Study Notes
Mixture Problems Summary
- Giuliana's coins: 22 quarters and dollar coins totaling $10.75. Equation: 0.25(22 - d) + d = 10.75.
- Dr. Bhatia's saline solution: Mixing 2 liters of 5% saline with x liters of 9% saline; x is found to be 6 liters.
- Recipe mixture: 1 cup of milk (2% fat) and cream (18% fat) results in a mixture with 6% fat; amount of cream is 1/4 cup.
- Book weight comparison: Hardcover (7 ounces), paperback (5 ounces), 45 copies weighing a total of 249 ounces; equation: 5(45 - h).
- Brass composition: Mixture of 80% copper and 60% copper results in 100 pounds of brass at 65% copper; equation: 0.8(100 - x) + 0.6x = 100(0.65).
- Coin collection: 108 coins of quarters and nickels valued at $21; value q can be replaced with 108 - n.
- Roller coaster vs. boat ride: Costs 4 tickets and 3 tickets respectively, totaling 10 rides and 37 tickets spent; equation: 4r + 3(10 - r) = 37.
- Maki's ethanol solution: 20 gallons of unknown concentration and 60 gallons of 12% ethanol create 80 gallons of 10% solution; concentration x is 0.04.
- Peroxide solution: Mixing 4% and 10% peroxide forms 100 L of 8% solution; value z is 0.08.
- Snack cart sales: Lemonade ($2) and hot dogs ($5) result in 86 items sold for a total of $330; equation: (86 - h) + h = 86.
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Description
Test your understanding of mixture problems with this engaging quiz. Work through various scenarios involving coins and saline solutions to sharpen your problem-solving skills. Perfect for students learning about algebraic equations and ratios.
