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Re: math problem of the day(another)

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jas_fluidm:
When positive integer x is divided by 5, the remainder is 3; and when x is divided by 7, the remainder is 4. When positive integer y is divided by 5, the remainder is 3; and when y is divided by 7, the remainder is 4. If x > y, which of the following must be a factor of x - y?
ans: 35

Khandoker Samaher Salem:
want more posts.

Anuz:
Nice and enjoying..............

jas_fluidm:
An elementary school has 6 grade levels: Kindergarten, 1st grade, 2nd grade, 3rd grade, 4th grade, and 5th grade. Each grade has 2 homeroom classes, except for the 5th grade, which has 3 homeroom classes. If the homeroom class sizes in Kindergarten, 1st grade, and 2nd grade are 2/3 the size of the homeroom class sizes for the other grades, how many students attend the school if the fifth grade has 108 total students?

jas_fluidm:
Explanation: Half of the grade levels, the 3rd, 4th, and 5th grades, have a homeroom class size 3/2 the size of the other grades. With 3 homeroom classes instead of 2, the 5th grade has 3/2 the students as the 3rd and 4th grades. This means that the fifth grade has 9/4 as many students as 1st and 2nd grades, as well as the Kindergarten level. Each of the grades K-2 will have populations of 48 students: 108(4/9); each of the grades 3-4 will have populations of 72: 108(2/3), giving us a total of 396 (3[48] + 2[72] + 108 = 12[12] + 12[12] + 9[12] = 33[12]).

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