The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School Brented and filled 4 vans and 12 buses with 780 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? *

ANSWER:  each van carries 18 people and each bus can                   transport 59 people.

Step-by-step explanation:

Let x = number of vans

      y = number of buses

Then x + 6y = 372

      4x + 12y = 780

Multiply the first equation by -4:  -4x - 24y = -1488

                                                  4x + 12y = 780

Adding the equations, we get -12y = -708

                                                y = 59

Substitute for y in the equation x + 6y = 372:

  x + 6(59) = 372

  x + 354 = 372

            x = 18

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

c

step-by-step explanation: