Ms. Ervine has a basket of grapes.

If she gives 6 grapes to each of her students, she will have 2 grapes left.
If she gives 7 grapes to each of her students, she will have to buy 11 more grapes.
A) How many students does Ms. Ervine have?
B) How many grapes are in the basket?

1 answer

number of students : n
number of grapes : x

6n + 2 = x
7n - 11 = x

7n - 11 = 6n + 2
n = 13
x = 6(13)+2 = 80

she has 13 students and 80 grapes

check:
6 grapes: 6(13) = 78 , she has 2 left over
7 grapes: 7(13) = 91 , she is 11 short
YEAH!!!