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ElenaW [278]
3 years ago
14

If 20 is 40% of a value, what is that value?

Mathematics
2 answers:
MissTica3 years ago
5 0

Answer:

D. 50

Step-by-step explanation:

Suppose we denote the "value" as the variable x. Now, we convert the words into mathematical equations:

40% "of" x "is" 20.

"Of" usually means multiply, and "is" usually means equal, so:

40% * x = 20

40/100 * x = 20

0.40 * x = 20

Now, we can just solve by dividing both sides by 0.40:

x = 50

Thus, our value is 50, so D.

Hope this helps!

GuDViN [60]3 years ago
3 0

20------40%

x-----100%

x=(20*100)/40

x=2000/40

x=50

D.

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Answer:

Fried crab cakes = $4.50

Cup of gumbo = $3.25

Step-by-step explanation:

Let's make the price of fried crab cakes = x and the price of a cup of gumbo = y. Set up two equations for x and y and solve for each variable.

<h3><u>Setting up the equations:</u></h3>

4 people ordered x and 4 people ordered y for a total of 31 dollars, so this equation would look like: 4x + 4y = 31

2 people ordered x and 1 person ordered y for a total of $12.25, so this equation would look like: 2x + y = 12.25

<h3><u>Substitution method:</u></h3>

Now you have your two equations-- solve for a variable in one of the equations and substitute that value into the other equation.

The easiest way to start would be to solve for y in the second equation by subtracting 2x from both sides.

y = 12.25 - 2x

Substitute this value into the first equation.

4x + 4(12.25 - 2x) = 31

Now solve for x-- start by distributing 4 inside the parentheses.

4x + (49 - 8x) = 31

Combine like terms.

-4x + 49 = 31

Subtract 49 from both sides.

-4x = -18

Divide both sides by -4.

x = 4.5

Substitute this value of x into our starting equation for which we solved for y.

2(4.5) + y = 12.25

Multiply 2 and 4.5 together.

9 + y = 12.25

Subtract 9 from both sides.

y = 3.25

Each order of fried crab cakes is worth the x-value [$4.50] and each cup of gumbo is worth the y-value [$3.25].

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