Question

A website sells MP3 downloads of music albums for $10 and Blu-ray discs of movies for $30. Fiona wants to buy some albums (a) and some movies (m). She plans to spend a total of $150. Write an equation to represent the situation.

A. 10a + 30m = 150
B. 10a - 30m = 150
C. 30a + 10m = 150
D. 10m - 30a = 150

Answer 1

The correct equation representing Fiona's total spending of $150 on albums and movies is 10a + 30m = 150.

Step-by-step explanation:

To represent Fiona's total spending on music albums and movies, we need to establish a linear equation that combines the cost of both items with the total amount she is willing to spend. With each MP3 download (album) costing $10 and each Blu-ray disc (movie) costing $30, and Fiona planning to spend a total of $150, our equation should reflect the sum cost of albums and movies equaling $150. Therefore, the correct equation is 10a + 30m = 150, where a represents the number of albums and m represents the number of movies. This equation arises from the basic principle of budget constraints that individuals face in economics.