Directions : Read the following line chart carefully and answer the questions…
2025
Directions : Read the following line chart carefully and answer the questions given below. The line chart shows the number of people who purchased two different types of dishes from four different hotels.
Find the ratio of the number of people who purchased a Thai dish from S to the number of people who purchased a Korean dish from P.
- A.
1:2
- B.
2:1
- C.
1:3
- D.
3:2
- E.
2:5
Attempted by 3 students.
Show answer & explanation
Correct answer: A
To compare two values plotted as different series on a line chart, read each series' value at the required category from where its marker aligns on the y-axis scale, then write the two readings as a ratio and simplify it by dividing both terms by their highest common factor (HCF).
Locate the Thai dish series (blue line) at hotel S: the marker aligns with the 70 mark on the y-axis.
Locate the Korean dish series (orange line) at hotel P: the marker aligns with the 140 mark on the y-axis.
Write the required ratio: (Thai dish at S) : (Korean dish at P) = 70 : 140.
Divide both terms by their HCF, 70: 70 divided by 70, to 140 divided by 70, giving 1 : 2.
Cross-check by cross-multiplication: 1 times 140 equals 140, and 2 times 70 equals 140, confirming that 70 : 140 reduces exactly to 1 : 2. So the ratio of the number of people who purchased a Thai dish from S to the number of people who purchased a Korean dish from P is 1 : 2.