Question

Each boy in a class has 11 pockets and each girl in the class has 13 pockets. How many boys and how many girls are in this class if all 21 students have a total of 251 pockets? Please answer ASAP and please no links.

Answer 1

Answer:

10 girls

11 boys

Step-by-step explanation:

set up a system of equations:

b represents boys, g represents girls

b+g=21           (since there is a total of 21 students)

11b+13g=251   (since each boy has 11 pockets, each girl has 13, total of 251)

i chose the method of substitution, so i solved the first equation to get

b=21-g

then i substitute 21-g for b in the second equation, and solve:

11(21-g)+13g=251

231-11g+13g=251

2g+231=251

2g=20

g=10

then, i solved for boys (by choosing the top equation and substituting 10 for g, since we now know that g=10)

b+g=21

b+10=21

b=11

so there are 10 girls and 11 boys in this class

Answer 2

Answer: 7 girls, because 11(7)+7(10)+147

Step-by-step explanation: hope this helps

can i have brainliest and a thx please