At a hockey game, a vender sold a combined total of 176 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.

Answers

Answer 1

Answer:

Answer:

Hot dogs sold: 44

Sodas sold: 132

Step-by-step explanation:

This is is a problem of a system of two equations with two unknowns. This can be solved in multiple ways (the substitution method, the elimination method, the equalization method, the graphic method...) . I will resolve it using the equalization method that is a little bit more practical from my point of view.

First, we have to determine the system by the data we are given:

$\left \{ {{y+x=176} \atop {y=3x}} \right.$

Where:

$y=sodas sold\nx=hot dogs sold$

Secondly, we are going to isolate any variable from both equations. I chose to isolate Y.

$\left \{ {{y=176-x} \atop {y=3x}} \right.$

Thirdly, we equalizate both equations.

$Y= Y$

So we get:

$176-x=3x$

Then we isolate X.

$-x-3x=-176$

$-4x=-176$

$x=-176:(-4)$

$x=44$

So now we know that the number of hot dogs sold was 44! If the sodas sold were three times the number of hot dogs sold, then we know that there were 132 sodas sold at the hockey game!

Related Questions

In the diagram, . Triangles P M N and Q S R are shown. The lengths of sides P N and R Q are congruent, the lengths of sides Q S and P M are congruent, and the lengths of sides M N and R S are congruent.If QR = 20 in., RS = 7 in., and SQ = 24 in., what is PN?3 in.7 in.20 in.24 in.
What is 100/45 in a mixed number
What is the final result when either algebraic or numerical fractions are added together?A single fraction A factored expression A simplified form Common denominators
WHAT ARE THE FOUR MAIN CYCLES THAT OCCUR IN NATURE PLZ HELP
Perform the indicated operation.(c 2 + 2c - 35) ÷ (c - 5)

The graph of y=4x^2+16x-18 has an axis of symmetry at x=___

Answers

Answer:

x = - 2

Step-by-step explanation:

Given

y = 4x² + 16x - 18

with a = 4, b = 16 , then the equation of the axis of symmetry is

x = - $(b)/(2a)$ = - $(16)/(8)$ = - 2

Brainly awnser fast pls!!Simplify the following expression by combining like terms.
3x + 2x - 5

Answers

Answer:

5x-5

Step-by-step explanation:

Answer:

5−5

HOPE THIS HELPS :)

What is x for number 14.

Answers

It's a right triangle. So

(x²) + (10²) = (7+x)²

x² + 100 = 49 + x² + 14x

That may look ugly, but I'm pretty sure you can handle it from this point.

Wow ! I just noticed that you can subtract x² from each side
and not even have to mess with it again.

x^2 $(x+7)^2=x^2+10^2x^2+14x+49=x^2+10014x+49=10014x=51x=3.64$

HELPPPP is the ratio 5:6 equivalent to 3:4 ?

Answers

No, it’s not equivalent to 3:4

Ratios are the same thing as fractions:

5:6 OR 5/6 does not equal 3/4

For the data shown in the stem-and-leaf plot, what is the effect on the mean and median of adding the value 10 to the data set? A. The mean is decreased by about 0.7 and the median is decreased by 2. B. The mean is decreased by about 0.7 and the median is decreased by 3. C. The mean is decreased by about 1.2 and the median is decreased by 2. D. The mean is decreased by about 1.2 and the median is decreased by 3.

Answers

The correct answer for the question that is being presented above is this one: " C. The mean is decreased by about 1.2 and the median is decreased by 2." For the data shown in the stem-and-leaf plot, the effect on the mean and median of adding the value 10 to the data set is that the mean is decreased by about 1.2 and the median is decreased by 2.

What is the current value of a future sum of money called

Answers

Answer : Present value

Present value is the Future sum of money that is the sum accumulated after some years given a specific rate of interest.

Present value is also known as present discounted value that is the value of an expected income determined in the given time of valuation

the current value of a future sum of money called Present value

The answer to your question is present value, because the question asked current value, and current value is also called as present value.

Present value

Hope it works

Other Questions

Factor the polynomial. 54c3d4 + 9c4d2

Normal body temperature is 98.6°F. Ellen's temperature is 100.8°F. How many degrees abovenormal body temperature is this?

Simplify this expression: 19 – (–8) – (–14) = ? A. –7B. –3C. 41D. 25

Square ABCD and square EFGH share a common center on a coordinate plane. is parallel to diagonal . Across how many lines of reflection can the combined figure reflect onto itself?.