Jimmy and Lauren are organizing transportation for
a field trip from ACIT. Jimmy
found out that his group has
841 students, and he needs 9
vans and 16 buses to
accommodate. While Lauren’s
group has 351 students, and
she needs 8 vans and 5 buses
for them. How many students
fit in a van and a bus for this
field trip? (please include steps)

Step-by-step explanation:

Jimmy's group : has 841 students

Lauren's group: has 351 students

9 vans  16 buses

8 vans 5 buses              

Vans: V

Buses: B

9v + 16b = 841

9v + 16b = 841

        -16b     -16b

9v/ 9 = 841 /9 - 16b/9

8( 841/9 - 16b/9) +5b = 351

v - (841/ 9 - 16b / 9 )

8 (841 / 9 - 16b/9) +5b =  351

6728/9 - 128b / 9 +5b = 351

-128b/9 + 45b/9 = -83/9b

6728/9 -83/9

- 6728/9   +83/9 = 3159/9 - 6728/9

(9)83b / 9 = -3569 (9)/9

-83b = -3564

-83        -83

B = 43 students

8v + 5b = 351  

8v + 5 (43) = 351

8v + 215 = 315

      -215      -215

8v = 136

8        8

V = 17 students

43 students can fit on a bus and 17 students can fit in a van.