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dbegay36
08.01.2021 •
Mathematics
The number of girls in Mrs. Manning’s classes was 12 less than twice the number of boys. She had a total of 108 students in her classes. How many girls and how many boys are in Mrs. Manning’s classes?
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Ответ:
40 boys and 68 girls
let's start with variables and an equation.
boys: x
girls: 2x - 12
and we know that boys and girls make up the class. so let's add the two expressions.
x + 2x - 12 = 108
3x - 12 = 108
+ 12 + 12
3x = 120
x = 40 boys
BUT x is only the number of BOYS in the class. so we have to find girls now. let's plug in our value of x into the girls' equation.
2x - 12 = # of girls
2(40) -12 = # of girls
80 - 12 = # of girls
68 girls
let's check our answer!
68 + 40 does in fact add to 108, therefore our answer is correct.
Ответ:
= -3x + 6.3y + 5x - 4.2y
= 2x + 2.1y