Question
5. You can buy 14 song downloads for \( \$ 2.10 \). How much would 3 songs cost?
Ask by Watkins Mccoy. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
3 songs cost \$0.45.
Solution
To find out how much 3 songs would cost, we can use the given information that 14 song downloads cost $2.10.
Let's denote the cost of 1 song as \( x \).
Given that 14 song downloads cost $2.10, we can set up the equation:
\[ 14x = 2.10 \]
To find the cost of 1 song, we can solve for \( x \):
\[ x = \frac{2.10}{14} \]
Now, we can calculate the cost of 3 songs by multiplying the cost of 1 song by 3:
\[ 3x = 3 \times \frac{2.10}{14} \]
Let's calculate the cost of 3 songs.
Calculate the value by following steps:
- step0: Calculate:
\(\frac{3\times 2.1}{14}\)
- step1: Multiply the numbers:
\(\frac{6.3}{14}\)
- step2: Convert the expressions:
\(\frac{\frac{63}{10}}{14}\)
- step3: Multiply by the reciprocal:
\(\frac{63}{10}\times \frac{1}{14}\)
- step4: Reduce the numbers:
\(\frac{9}{10}\times \frac{1}{2}\)
- step5: Multiply the fractions:
\(\frac{9}{10\times 2}\)
- step6: Multiply:
\(\frac{9}{20}\)
The cost of 3 songs would be $0.45.
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Beyond the Answer
To find the cost of 3 songs, first, we need to determine the cost of a single song. If you can buy 14 song downloads for \( \$ 2.10 \), then each song costs \( \frac{2.10}{14} = 0.15 \) dollars, or 15 cents. To find the cost of 3 songs, simply multiply the cost of one song by 3: \( 0.15 \times 3 = 0.45 \) dollars. Therefore, 3 songs would cost \( \$ 0.45 \). Now, isn’t it fascinating how pricing works? This kind of math isn't just for song downloads; it applies to almost everything we buy in bulk—a savvy shopper’s secret weapon! Next time you find a deal, don’t forget to calculate the per-item price to see if you’re really getting a good bargain!
