Question

A teacher has a bag of sweets. if she gives 10 sweets to each of her students, there will be an excess of 8 sweets. if she gives 11 sweets to each of her students, she will need another 16 sweets. How many sweets does she have? how many students are there in class?

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Answer 1

A teacher has a bag of sweets. If she gives 10 sweets to each of her students, there will be an excess of 8 sweets. If she gives 11 sweets to each of her students she will need another 16 sweets. How many students and how many sweets were there?



x = number of students

for the first part “If she gives 10 sweets to each of her students, there will be an excess of 8 sweets.” From this, we can derive the following: 10x+8 = number of sweets

for the second part “If she gives 11 sweets to each of her students she will need another 16 sweets.” From this, we can derive the following: 11x-16 = number of sweets

setting the two equations equal, we get: 10x+8=11x-16

solving for x, we find that there are 24 students.

Then plug 24 back into the initial equations:

10*24+8=248

11*24–16=248

We find that the teacher has a total of 248 sweets.

Answer 2

Step-by-step explanation:

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