one month Miguel rented 5 movies and 3 video games for a total of $27. The next month he ordered 2 movies and 6 video games for
1 answer:
Answer:
The price of each movie is $2.25
The price of each video games is $5.41
Step-by-step explanation:
Given as :
Miguel rented 5 movies and 3 video games for a total cost = $27
Next day Miguel rented 2 movies and 6 video games for a total cost = $36
Let The cost of each movie = $m
And The cost of each video game = $v
Now, According to question
5 m + 3 v = 27 .....1
2 m + 6 v = 36 ...........2
Now, solving the equation
2 × (5 m + 3 v) - (2 m + 6 v) = 2 × 27 - 36
Or, 10 m + 6 v - 2 m - 6 v = 54 - 36
Or, (10 m - 2 m) + (6 v - 6 v) = 18
Or, 8 m + 0 = 18
∴ m = =
i.e m = $2.25
So, The price of each movie = m = $2.25
Again, put the value of m into eq 2
So, 2 × 2.25 + 6 v = 36
Or, 4.5 + 6 v = 36
Or, 6 v = 36 - 4.5
Or, 6 v = $32.5
∴ v =
i.e v = $5.41
So, The price of each video games = v = $5.41
Hence, The price of each movie is $2.25 and
The price of each video games is $5.41 Answer
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32 × 2 = 68
32 × 3 = 96
32 × 4 = 128
So far we can conclude that the answer to your question lies somewhere between the numbers 3 and 4. To narrow down the answer some more, multiply 32 by 3.5 (a midway point between 3 and 4).
32 × 3.5 = 112
The number 112 tells us that the decimal we are looking for is higher than 3.5. (Because we need to get to 125, not 112.) Let's try some decimals between 3.5 and 4.
32 × 3.7 = 118.4
32 × 3.8 = 121.6
32 × 3.9 = 124.8
32 × 4 = 128
As we narrow down our answer, we can see that the number we are looking for lies between 3.9 and 4 on the number line. Now we need to start testing some decimals between 3.9 and 4.
32 × 3.905 = 124.96
Again, use the number five as a "midway" point to decide if you should use numbers that are higher or lower than 3.905. In this case, we need to use numbers higher than 3.905.
32 × 3.906 = 124.992
32 × 3.907 = 125.024
We are getting even closer to our number now that we know the decimal is somewhere between 3.906 and 3.907.
32 × 3.9065 = 125.008
With our midway point we can see that our number lies between 3.906 and 3.9065. Let's try a quarter point to see where our number lies from there.
32 × 3.90625 = 125
And BINGO! We have found the answer to the question. To be rephrased, our answer can be put like this:
= 3.90625
32 × 3 = 96
32 × 4 = 128
So far we can conclude that the answer to your question lies somewhere between the numbers 3 and 4. To narrow down the answer some more, multiply 32 by 3.5 (a midway point between 3 and 4).
32 × 3.5 = 112
The number 112 tells us that the decimal we are looking for is higher than 3.5. (Because we need to get to 125, not 112.) Let's try some decimals between 3.5 and 4.
32 × 3.7 = 118.4
32 × 3.8 = 121.6
32 × 3.9 = 124.8
32 × 4 = 128
As we narrow down our answer, we can see that the number we are looking for lies between 3.9 and 4 on the number line. Now we need to start testing some decimals between 3.9 and 4.
32 × 3.905 = 124.96
Again, use the number five as a "midway" point to decide if you should use numbers that are higher or lower than 3.905. In this case, we need to use numbers higher than 3.905.
32 × 3.906 = 124.992
32 × 3.907 = 125.024
We are getting even closer to our number now that we know the decimal is somewhere between 3.906 and 3.907.
32 × 3.9065 = 125.008
With our midway point we can see that our number lies between 3.906 and 3.9065. Let's try a quarter point to see where our number lies from there.
32 × 3.90625 = 125
And BINGO! We have found the answer to the question. To be rephrased, our answer can be put like this: