STUGO sells hot chocolate and coffee at the high school football games. At the last game, they had sales of $200. They need to keep track of how
many of each type of drink was sold so that they can make predictions for
future sales. Mrs. Mendoza knows that they used 275 cups that night. If
the hot chocolate sells for 75 cents and coffee sells for 50 cents, how
much of each type of drink were sold?

Number of hot chocolate = 250

Number of coffee = 25

Step-by-step explanation:

Given:

Total income = $200 = 20,000 cents

Number of total item sell = 275

Amount of each hot chocolate = 75 cents

Amount of each coffee = 50 cents

Find:

Number of each drink sold

Computation:

Assume

Number of hot chocolate = x

Number of coffee = 275 - x

So,

Total income = [Number of hot chocolate][Amount of each hot chocolate] + [Number of coffee][Amount of each coffee]

20,000 = [x][75] + [275-x][50]

20,000 = 75x + 13,750 - 50x

x = 250

Number of hot chocolate = 250

Number of coffee = 275 - 250

Number of coffee = 25

i think the correct option is the second option.

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.