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 B rented and filled 4 vens 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? A. Van: 18, Bus: 59 B. Van: 59, Bus: 18 C. Van: 19, Bus: 58 D. Van: 58, Bus: 19
Answers & Comments
A. Van: 18, Bus: 59
use substitution.
{1x + 6y = 372
{4x + 12y = 780
{x = 372 - 6y
{4x + 12y = 780
y = 59
x = 372 - 6 × 59
x = 18
( x, y ) ( 18, 59 )
Checking.
{1 × 18 + 6 × 59 = 372
{4 × 18 + 12 × 59 = 780
Van: 18
Bus: 59