The local amusement park is a popular field trip destination. this year the senior class at high school a and the senior class at high school b both planned trips there. the senior class at high school a rented and filled 9 vans and 5 buses with 267 students. high school b rented and filled 10 vans and 10 buses with 390 students. each van and each bus carried the same number of students. how many students can a van carry? how many students can a bus carry?

The van can carry 18 students and bus can carry 21 students.

Solution:

Given that,

Senior class at high school "a" rented and filled 9 vans and 5 buses with 267 students.  

High school "b" rented and filled 10 vans and 10 buses with 390 students.  

Each van and each bus carried the same number of students.  

Let the capacity of van be "m", and capacity of bus be "n"

Then, according to given information,

For school a ⇒ 9m + 5n = 267 ⇒ (1)

For school b ⇒ 10m + 10n = 390

⇒ m + n = 39

⇒ m = 39 – n ⇒ (2)

Substitute (2) in (1)

9(39 – n) + 5n = 267  

⇒ 351 – 9n + 5n = 267  

⇒ 9n – 5n = 351 – 267  

⇒ 4n = 84  

⇒ n = 21

Then, m + 21 = 39

⇒ m = 39 – 21

⇒ m = 18

Hence, van can carry 18 students and bus can carry 21 students.

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.

the total estimated nappy use.=10,500,000

step-by-step explanation:

given that on an average the average baby uses 3528 napkins.

in a particular year 2014, the number of births were 299697 in new south wales.

rounding off the number of births to the nearest hundred thousand we have

no of birtsh = 300000

also rounding off the average usage to nearst thousand we get

average use of a baby = 3500

hence total number of nappy estimated to be used = 3500x300000

= 10,500,000

answer is 10,500,000 nappies