Podcast
Questions and Answers
Which equation can be used to find d, the number of dollar coins Giuliana has?
Which equation can be used to find d, the number of dollar coins Giuliana has?
- 0.25(22 - d) + 0.5d = 10.75
- 0.25(22 - d) + d = 10.75 (correct)
- 0.25(22 + d) + d = 10.75
- 0.5(22 - d) + d = 10.75
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?
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?
- 6 (correct)
- 7
- 4
- 5
How much cream is in the mixture if the total volume is 1 cup with various fat percentages?
How much cream is in the mixture if the total volume is 1 cup with various fat percentages?
- 1/4 cup (correct)
- 1 cup
- 1/8 cup
- 1/2 cup
Which value could replace x in the total weight of 45 copies of the book?
Which value could replace x in the total weight of 45 copies of the book?
Which equation can be used to find x, the amount of 60% mixture used to create the 65% mixture of brass?
Which equation can be used to find x, the amount of 60% mixture used to create the 65% mixture of brass?
Which value could replace q on the chart for a collection of quarter and nickel coins?
Which value could replace q on the chart for a collection of quarter and nickel coins?
Which equation is true for the rides on the roller coaster and the boat ride?
Which equation is true for the rides on the roller coaster and the boat ride?
What is the value of x, the concentration of the unknown ethanol solution?
What is the value of x, the concentration of the unknown ethanol solution?
What is the value of z in the mixture of peroxide solutions?
What is the value of z in the mixture of peroxide solutions?
Which equation is true for the sales of lemonade and hot dogs?
Which equation is true for the sales of lemonade and hot dogs?
Flashcards
Giuliana's dollar coins equation
Giuliana's dollar coins equation
0.25(22 - d) + d = 10.75
Saline solution liters equation
Saline solution liters equation
Mixing 2 liters of 5% solution with x liters of 9% solution
Cream amount in a mixture
Cream amount in a mixture
1/4 cup
Book copies total weight equation
Book copies total weight equation
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Brass mixture equation
Brass mixture equation
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Quarter and nickel coins
Quarter and nickel coins
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Roller coaster and boat ride equation
Roller coaster and boat ride equation
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Ethanol solution concentration
Ethanol solution concentration
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Peroxide solution equation
Peroxide solution equation
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Lemonade and hot dog sales equation
Lemonade and hot dog sales equation
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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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