The local amusement park is a popular field trip destinations. this year the senior class at high school a and the senior class in high school b both planned trips there. the senior class at high school a rented and filled 16 vans and 8 buses with 752 students. high school b rented and filled 5 vans and 5 buses with 380 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?

Van = 18

Bus = 58

Step-by-step explanation:

Let v be the number of students carried by each van.

Let b be the number of students carried by each bus.

We know the following:

Solve the second equation for b:

Replace b with (76 – v) in the first equation:

Therefore, each van can carry 18 students. Each bus, then, can carry 76 – v = 76 – 18 = 58.

To verify:

High School A had 16 vans and 8 buses equaling (16 × 18) + (8 × 58) = 288 + 464 = 752. That is correct.

High School B had 5 vans and 5 buses equaling (5 × 18) + (5 × 58) = 90 + 290 = 380. That is correct.

fabric (square meters)                   cloaks

7                                                           21

4/3                                                         4

step-by-step explanation:

we are told that harry needs 2 square meters of fabric for every 6 wizard cloaks he makes.

1. first of all we will find how many cloaks can be made from 1 square meter of fabric by dividing 6 by 2.

we can see that 3 cloaks can be made from 1 square meter of fabric. now we will multiply 3 by 7 to find number of cloaks made from 7 square meters of fabric.

therefore, harry will make 21 cloaks from 7 square meters of fabric.

2. let us find how many square meters of fabric will be needed to make 4 cloaks.

first of all we will find fabric needed for 1 cloak by dividing 2 by 6.

we can see that fabric needed for 1 cloak is   square meter. now we will multiply   by 4 to find fabric needed for 4 cloaks.