Question
A boy buys four video games from the store and a Frequent Gamer discount card for $10. Later that day, he goes back and buys two more video games. He also got a $2 discount using his new card. If he spent a total of $218 at the game store, how much did each video game cost assuming every video game cost the same amount?
Hint:
- Hint:
○ Form the equation according to given information..
○ Take variable values as x or any alphabet.
○ Solve the equation to get value of x.
The correct answer is: $35.
- Step by step explanation:
○ Given:
Total video game brought at first = 4.
cost of gamer discount card = $10.
Total video game brought later = 2.
total discount = $2.
total money spent = $218.
○ Step 1:
○ Calculate amount spent at first.
○ Let the cost of 1 video game is x.
(cost of 4 video game + gamer discount card )
(4x + 10 )
○ Step 2:
○ Calculate amount spent at first.
(cost of 2 video game - discount )
(2x - 2 )
○ Step 3:
○ It is given that total money spent is $218.
∴ (4x + 10 ) + ( 2x - 2 ) = 218
6x + 8 = 218
6x = 218 - 8
6x = 210
x =
x = 35
- Final Answer:
Hence, the price of one video game is $35.
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Use inductive reasoning to make a conjecture about the sum of a number and itself. Then use deductive reasoning to show the conjecture is true.
Informally, a hypothesis is just drawing assumptions about something based on what you already know and have observed.
A conjecture is formally defined as a based-on-observations, a statement considered true.
Speculation is similar to your opinion about something you follow or perhaps a knowledgeable estimate.
For example, observe the numbers below: 2, 4, 6, 8, 10, and 12. What number would come next? You're probably thinking 14, but What led you to that conclusion, and why? You may have seen the pattern and that the list is counting in twos.
The following number is 14 because the list counts by 2's, according to your hypothesis.
You saw the pattern and concluded without making any claim.
Use inductive reasoning to make a conjecture about the sum of a number and itself. Then use deductive reasoning to show the conjecture is true.
Informally, a hypothesis is just drawing assumptions about something based on what you already know and have observed.
A conjecture is formally defined as a based-on-observations, a statement considered true.
Speculation is similar to your opinion about something you follow or perhaps a knowledgeable estimate.
For example, observe the numbers below: 2, 4, 6, 8, 10, and 12. What number would come next? You're probably thinking 14, but What led you to that conclusion, and why? You may have seen the pattern and that the list is counting in twos.
The following number is 14 because the list counts by 2's, according to your hypothesis.
You saw the pattern and concluded without making any claim.