Mathematics, 02.12.2020 08:50 MonkeyBurroughs

2. Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and large cups for $2.50. If Ashley sold a total of 155 cups of lemonade for $265, how many cups of each
type did she sell?

Answers: 3

Show answers

Answers

Answer from: JesuGranger

$\boxed {\boxed {\sf 98 \ Small \ Cups}}\\\\\boxed {\boxed {\sf 57 \ Large \ Cups}}$

Step-by-step explanation:

Let's make a system of equations.

First, define the variables.

Let s= small cups and g= large cups

Next, make 2 equations. 1 for the money and 1 for the number of cups.

Money

A small cup costs 1.25 and a large cup costs 2.50. The total money made is 265. 1.25s+2.50g=265

Number

A total of 155 cups of lemonade were sold. The sum of small cups and large cups sold will equal 155. s+g=155

Here is our system of equations:

$1.25s+2.50g=265 \\s+g=155$

Now, solve. Let's isolate a variable in the 2nd equation, so we can plug it in after.

Subtract g from both sides of the equation. s+g=155 s+g-g=155-gs=155-g

Now we know that s is equal to 155-g. We can substitute (155-g) in for s in the first equation.

1.25s +2.50g=265

1.25(155-g)+2.50g=265

Distribute the 1.25

1.25(155-g)= (1.25*155)+ (1.25*-g)= 193.75-1.25g

193.75-1.25g+2.50g=265

Work to isolate the variable. Subtract 193.75 from both sides of the equation and combine like terms on the left.

193.75-1.25g+2.50g=265-193.75 (Subtract 193.75)

-1.25g+2.50g=265-193.75

1.25g=71.25 (Combine like terms).

1.25 and g are being multiplied. The inverse of multiplication is division. Divide both sides by 1.25

$1.25g/1.25=71.25/1.25\\g=71.25/1.25\\g=57$

Now we know that 57 large cups were sold. Plug 57 back into the original second equation to find the small cups.

s+g=155

s+57=155

Subtract 57 from both sides of the equation to isolate the variable, s.

$s+57-57=155-57\\s=155-57\\s=98$

Ashley sold 57 large cups and 98 small cups.

Answer from: Quest

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b): y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4 perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

Which equation represents a line perpendicular to the line shown on the graph?

Answer from: Quest

sorry man i accidentally pressed yes my bad

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 19:10

What is the quotient? x+5/ 3x²+4x+5 © 3x2 – 11 + x + s 3x – 11 + 60 x + 5 o 3x2 - 11 - 50 x + 5 3x – 11 - - x + 5

Answers: 3

Answer

Mathematics, 21.06.2019 19:30

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)

Answers: 2

Answer

Mathematics, 22.06.2019 04:00

The least common denominator of 4/8 and 11/18

Answers: 1

Answer

Mathematics, 22.06.2019 04:30

Acone with radius 5 cm and height 12 cm how many cm ?

Answers: 1

Answer

You know the right answer?

2. Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and large cup...