# math

The student to teacher ratio is 19:1 at a local school and there is a total of 500 students and teachers. How many teachers and how many students are there.

I'm not sure how to begin to set this up since I have two unknowns and not only one.

1. 👍 0
2. 👎 0
3. 👁 600
1. s = number of students

19/20 = s/500

Cross multiply and solve for s.

1. 👍 0
2. 👎 0
👩‍🏫
Ms. Sue
2. let the number of students be 19x
let the number of teachers be x

19x + x = 500
20x = 500
x = 25

There are 19(25) or 475 students
and 25 teachers

check:
total = 25+475 = 500
ratio = 475 : 25 = 19:1

1. 👍 0
2. 👎 0

1. 👍 0
2. 👎 2

## Similar Questions

1. ### Algebra 1

1.Which of the following situations best describes a student engaged in active learning. A. A student uses only one of the resources provided by the teacher*** B. A student skips parts of lessons that he or she finds difficult C.

2. ### MATHS

Two different schools (A and B) have the same number of pupils. The ratio of the boys in school A and the boys in school B is 2:1 and the ratio of the girls in school A and the girls in school B is 4:5. Find the ratio of the boys

3. ### Mathematics

A recent survey of 1730 people found that out of all respondents, only 579 shop at local farmer's markets. Express the ratio of people who shop at local farmer's markets to the total as a decimal rounded to the thousandths place.

4. ### mathematics

A researcher conducted a survey of 6 teachers to determine how many times each teacher tutors students after school. The researcher recorded the findings in the table below. ​Teacher ​Number of Outcomes 1 ​18 2 ​ 15 3

1. ### ratio

In a school with 560 students, the ratio of students to teacher is 20 to 1. How many new teachers need to be hired to reduce the ratio to 16 to 1?

2. ### Algebra 1

Julia's school is selling tickets to a play. On the first day of ticket sales the school sold 6 adult tickets and 2 student tickets for a total of \$40. The school took in \$85 on the second day by selling 5 adult tickets and 12

3. ### Algebra

Help? The school john goes to is selling tickets to the annual dance competition . On the first day of sales the school sold 2 senior citizen tickets and 13 student tickets for a total of \$108. The school took in\$144 on the second

4. ### Math

Katherine spends 7 h a day in school. This includes a 30 min lunch break each day. a) Write a ratio that compares the time for her lunch break with the total time she spends at school each day. b) Write a ratio that compares the

1. ### statistic

Over the past 10 years, the local school district has measured physical fitness for all high school freshmen. During that time, the average score on a treadmill endurance task has been μ  19.8 minutes with a standard deviation

2. ### math

An instrument store gives a 10% discount to all students off the original cost of an instrument. During a back to school sale an additional 15% is taken off the discounted price. Julie, a student at the local high school,

3. ### Math

Curtis school has 1,575 students. The students to teacher ratio is 15:1. How many teachers are at Curtis school?

4. ### Algebra

The school that Trevon goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 12 adult tickets and 4 student tickets for a total of \$188. The school took in \$171 on the second day by