Question

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 a total of $36. Find the total of each movie and each video game.

Answer 1

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 = $\dfrac{18}{8}$ = $\dfrac{9}{4}$

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 = $\dfrac{32.5}{6}$

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