Question

1. You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into each quart of Creamy Vanilla go 2 eggs and 3 cups of cream. Into each quart of Continental Mocha go 1 egg and 3 cups of cream. You have in stock 850 eggs and 1,650 cups of cream. How many quarts of each flavor should you make in order to use up all the eggs and cream?

2. Enormous State University's Math Department offers two courses: Finite Math and Applied Calculus. Each section of Finite Math has 80 students, and each section of Applied Calculus has 70 students. The department will offer a total of 150 sections in a semester, and 11,200 students would like to take a math course. How many sections of each course should the department offer in order to fill all sections and accommodate all of the students?

3

Gerber Product's Gerber Mixed Cereal for Baby contains, in each serving, 60 calories and 11 grams of carbohydrates.† Gerber Mango Tropical Fruit Dessert contains, in each serving, 80 calories and 21 grams of carbohydrates.† If you want to provide your child with 300 calories and 74 grams of carbohydrates, how many servings of each should you use?

4.

You are the buyer for OHaganBooks.com and are considering increasing stocks of romance and horror novels at the new OHaganBooks.com warehouse in Texas. You have offers from two publishers: Duffin House and Higgins Press. Duffin offers a package of 5 horror novels and 5 romance novels for $50, and Higgins offers a package of 5 horror and 11 romance novels for $150.

How many packages should you purchase from each publisher to get exactly 7,500 horror novels and 10,800 romance novels?

Answer 1

The problems can be solved with the help of simultaneous equations.

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