Question

a teacher has a bag of sweets to treat her class.If she gave 6 sweets to each students,then she would have 5 sweets left.If she gave 7 sweets to each students,then she would have 30 sweets short.How many students and how many sweets are there?

Answer 1

Step-by-step explanation:

let sweets be S

let number of students be N

According to the question:

S-6N=5 ----1

S-7N=-30----2

from 1 and 2

S-6N-(S-7N)=13-(-30)

S-6N-S+7N=13+30

-6N+8N=43

2N=43

N=21.5

SUBSTITUTE N=21.5 IN EQUATION 1

S-6(21.5)=5

S-129=5

S=5+129

S=134

VERIFYING WHETHER ANSWER IS CORRECT

134-6(21.5)=5

134-129=5

5=5