Question

Chloe sells books for $7 and movies for $9. Chloe sold a total of 30 books and moviies and collected a total of $246. How many books and movies did she sell last week

Answer 1

Chloe sold 12 books and 18 movies.

Step-by-step explanation:

We can determine how many books and movies Chloe sold last week using a system of equations, where:

• B represents the number of books,
• and M represents the number of movies.

First equation:

Since the price for books and movies are $7 and $9 respectively and Chloe collected a total of $246, our first equation is given by:

7B + 9M = 246

Second equation:

Since Chloe sold a total of 30 books and movies, our second equation is given by:

B + M = 30

Method to solve: Substitution:

Solving for M:

We can first isolate B in the second equation:

(B + M = 30) - M

B = -M + 30

Now, we can solve for M by substituting -M + 30 for B in 7B + 9M = 246:

7(-M + 30) + 9M = 246

-7M + 210 + 9M = 246

(2M + 210 = 246) - 210

(2M = 36) / 2

M = 18

Therefore, Chloe sold 18 movies.

Solving for B:

Now, we can solve for B by plugging in 18 for M in B + M = 30:

(B + 18 = 30) - 18

B = 12

Therefore, Chloe sold 12 books.

Answer 2

To solve the problem, set up a system of equations using the given information. Then, solve the system to find the values of x and y, representing the number of books and movies Chloe sold last week.

Step-by-step explanation:

To solve this problem, we need to set up a system of equations. Let's assume that Chloe sold x books and y movies. Since Chloe sold a total of 30 books and movies, we can write the first equation as x + y = 30. The second equation represents the total amount of money she collected, which is $246, so we have 7x + 9y = 246.

Now, we can solve this system of equations:

1. Using the first equation, isolate x by subtracting y from both sides: x = 30 - y.
2. Substitute this value of x into the second equation: 7(30 - y) + 9y = 246.
3. Distribute and simplify: 210 - 7y + 9y = 246.
4. Combine like terms: 2y = 36.
5. Divide both sides by 2: y = 18.
6. Substitute this value of y back into the first equation to find x: x + 18 = 30. Subtract 18 from both sides: x = 12.

Chloe sold 12 books and 18 movies last week.