SOLUTION: Dakota has 15 students in her preschool class, with a 2:3 ratio of boys to girls. Her cousin, Madison, has a preschool class of 18 students, with a 5:1 ratio of girls to boys. The

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Dakota has 15 students in her preschool class, with a 2:3 ratio of boys to girls. Her cousin, Madison, has a preschool class of 18 students, with a 5:1 ratio of girls to boys. The       Log On


   

Question 1002037: Dakota has 15 students in her preschool class, with a 2:3 ratio of boys to girls. Her cousin, Madison, has a preschool class of 18 students, with a 5:1 ratio of girls to boys. The classes eat lunch together. How many boys are there in the combined lunch time? How many girls in the combined lunch time? What is the ratio of boys to girls in the combined lunch time?
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
Dakota:
x for girls and y for boys
system%28x%2By=15%2Cy%2Fx=2%2F3%29

Madison:
g for girls and b for boys
system%28g%2Bb=18%2Cg%2Fb=5%2F1%29

WHAT TO DO?
Solve each system for the four variables.
Total boys is y+b;
Total girls is x+g.