Solving Mixture Problems Quiz

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?

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 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 z in the mixture of peroxide solutions?

Which equation is true for the sales of lemonade and hot dogs?

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.

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.