A survey of Year 8 students shows that $$ 40 \% $$ of students walk to school, one-sixth ride their bike and the remainder catch the bus. 2 What is the ratio of students who walk to those who ride to those who catch the bus, among this year level? A $$ 0.4: 0.17: 0.43 $$ B $$ 2: 1: 5 $$ C $$ 12: 5: 13 $$ D $$ 40: 1: 5 $$

Question

UpStudy AI · Accepted Answer

To find the ratio of students who walk, ride their bike, and catch the bus, we start by determining the proportions of each group based on the information given.

1. **Walking to school**: 
   - $$ 40\% $$ of students walk to school. This can be expressed as a fraction: 
   $$
   0.4
   $$

2. **Riding a bike**: 
   - One-sixth of the students ride their bike. This can be expressed as a fraction:
   $$
   \frac{1}{6} \approx 0.1667
   $$

3. **Catching the bus**: 
   - The remainder of the students catch the bus. To find this, we first calculate the total percentage of students who walk and ride their bike:
   $$
   40\% + \frac{1}{6} = 0.4 + 0.1667 \approx 0.5667
   $$
   - Therefore, the percentage of students who catch the bus is:
   $$
   1 - 0.5667 \approx 0.4333
   $$

Now we have the proportions:
- Walking: $$ 0.4 $$
- Riding: $$ \frac{1}{6} \approx 0.1667 $$
- Catching the bus: $$ 0.4333 $$

Next, we convert these proportions into a ratio. To do this, we can express each proportion as a fraction of a common denominator. The least common multiple of the denominators (1, 6, and 1) is 6.

- Walking: 
$$
0.4 = \frac{40}{100} = \frac{24}{60} \quad (\text{multiply by } 1.5)
$$
- Riding: 
$$
\frac{1}{6} = \frac{10}{60}
$$
- Catching the bus: 
$$
0.4333 \approx \frac{26}{60} \quad (\text{multiply by } 1.5)
$$

Now we can express the ratios:
- Walking: $$ 24 $$
- Riding: $$ 10 $$
- Catching the bus: $$ 26 $$

Thus, the ratio of students who walk to those who ride to those who catch the bus is:
$$
24 : 10 : 26
$$

To simplify this ratio, we can divide each term by 2:
$$
12 : 5 : 13
$$

Thus, the final ratio of students who walk to those who ride to those who catch the bus is:
$$
\boxed{12 : 5 : 13}
$$

The correct answer is **C** $$ 12: 5: 13 $$.
The ratio of students who walk to those who ride to those who catch the bus is 12:5:13.

A survey of Year 8 students shows that of students walk to school, one-sixth ride their bike and
the remainder catch the bus.
2 What is the ratio of students who walk to those who ride to those who catch the bus, among this
year level?
A
B
C
D

Solución de inteligencia artificial de Upstudy

Responder

Solución

Mind Expander

preguntas relacionadas

Latest Statistics Questions

A survey of Year 8 students shows that of students walk to school, one-sixth ride their bike and the remainder catch the bus. 2 What is the ratio of students who walk to those who ride to those who catch the bus, among this year level? A B C D