Question

amit's school is an unusual school.it has 1677 students in grades 3-6.There are twice as many fifth graders as sixth graders and three times as many forth graders as fifth graders. Finally, there are five times as many third graders as fourth graders. How many fifth graders are in Amit's school?​

Answer 1

`86\ fifth\ graders`

Explanation:

Let

x-----> number of students in third grade

y----> number of students in fourth grade

z---> number of students in fifth grade

r----> number of students in sixth grade

we know that

`x+y+z+r=1,677` -----> equation A

`z=2r` ---->
`r=0.5z` -----> equation B

`y=3z` -----> equation C

`x=5y` ----> equation D

Substitute equation C in equation D

`x=5(3z)=15z` -----> equation E

Substitute equation B, equation C, equation E in equation A and solve for z

`(15z)+(3z)+z+(0.5z)=1,677`

`19.5z=1,677`

`z=1,677/19.5=86\ fifth\ graders`