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3 years ago

15

Skylar needs $56 to buy a new video game. If he doubles the amount of money he has now, he will have enough to buy the game with

$8 left over.
How much money does Skylar have right now?

1 answer:

Semenov [28]3 years ago

7 0

Skylar have 66 Dollars left

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hichkok12 [17]

Answer:

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Step-by-step explanation:

The key to solving word (story) problems is to learn how to translate words and phrases into concise, precise math expressions (variables and operations). Make a table and add to it as you do problems:

is means =

more than +

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sum +

of usually means multiply

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Assign variables. Try to assign variables to the values the problem asks you to find.

In this problem, there are two variables. Let x = one number; y = other numbers

Translate:

"One number is 5 more than twice the other number" means

x = 5 + 2 * y

"sum of the two numbers is 29" means

x + y = 29

Now, the easy math.

Use the value for x from the first equation and substitute that into the second equation:

(5 + 2y) + y = 29

5 + 3y = 29 (collect terms)

3y = 24 (subtract 5 from both sides)

y = 8

Now, put that value of y into either equation to solve for x (Which equation is easier??)

x + 8 = 29

x = 21 (subtract 8 from both sides)

Checking (very important):

Is 21 really 5 more than 2(8)?

21 = 5+16 ?

21 = 21? yes

Is 21 + 8 = 29 ?

29 = 29? yes

p.s., learn the process, don't just get the right answer; there will be lots of problems that are solved the same way!

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