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 + 10m = 150
c) 30a + 10m = 150
d) 10a - 30m = 150"

Answer 1

The correct equation to represent Fiona's planned spending of $150 on albums and movies, with albums costing $10 and movies costing $30, is 10a + 30m = 150.

Step-by-step explanation:

The student asked for help to write an equation representing the situation where Fiona wants to buy some albums (a) and some movies (m) and plans to spend a total of $150. Since the albums are $10 each and the movies are $30 each, the equation reflecting the total cost is 10a + 30m = 150, where 'a' represents the number of albums and 'm' represents the number of movies. Thus, the correct answer to this question is a) 10a + 30m = 150. The choice of 'a' ensures that the value for each album and movie is correctly accounted for in the equation.