The line graph given below shows the total number of TV sold and difference…
2025
The line graph given below shows the total number of TV sold and difference between cell phone and TV sold by five different shops (A, B, C, D and E).
Find the ratio of TV sold by D to cell phones sold by B.
- A.
19:10
- B.
19:11
- C.
10:19
- D.
18:19
- E.
19:22
Attempted by 1 students.
Show answer & explanation
Correct answer: E
Concept
In this line graph the blue line gives the Total TV sold by each shop, while the orange line gives the Difference between Cell phones and TV sold (Cell phones − TV). The note states cell phones exceed TV at every shop, so for any shop:
Cell phones sold = TV sold + Difference.
A ratio of two such quantities is reduced to lowest terms by dividing both terms by their greatest common divisor (GCD).
Application
Read TV sold by D from the blue line: 760.
Read shop B from both lines: TV sold (blue) = 600 and Difference (orange) = 280.
Cell phones sold by B = TV + Difference = 600 + 280 = 880.
Required ratio = TV sold by D : Cell phones sold by B = 760 : 880.
Divide both terms by GCD(760, 880) = 40: 760 ÷ 40 = 19 and 880 ÷ 40 = 22, giving 19 : 22.
Cross-check
Scale the reduced ratio back up by 40: 19 × 40 = 760 and 22 × 40 = 880, which match the values just read, confirming 19 : 22.