Nora and mackenzie go to the movie theater and purchase refreshments for their friends.

nora spends a total of $43.50 on 4 bags of popcorn and 2 drinks.

mackenzie spends a total of $17.00 on 1 bag of popcorn and 4 drinks.

write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink.

using these equations, determine and state the price of a drink, to the nearest cent.

Trent wants to buy 2 packs of trading cards for 3 dollars each. the trading card packs that trent normally buys tend to come in packs of 6, 10, 12, or 15 cards. after selecting 2 packs, trent found that the first pack of cards cost 25 cents per card, and the second pack cost 30 cents per card. trent uses this information to write the equations below in order to compare c, the number of cards in each pack.

Name each raycalculation tip: in ray "ab", a is the endpoint of the ray.

Agroup of students want to create a garden. they do not know the exact measurements but they propose using a variable to represent the length and width of the garden. the length of the garden is 10 feet longer than double the width. use a single variable to write algebraic expressions for both the length and width of the garden. write an algebraic expression for the area of the garden. use mathematical terms to describe this expression.