SOLUTION: 20. At a tea-dance, there are 4 more girls than boys. For the first dance, only couples are allowed to take the floor, i.e. girls must dance with boys and girls are not allowed to

Question 389582: 20. At a tea-dance, there are 4 more girls than boys. For the first dance, only couples are allowed to take the floor, i.e. girls must dance with boys and girls are not allowed to dance together. If 5/7 of the boys and 2/3 of the girls take the floor for the first dance, how many boys are there altogether?
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
"there are 4 more girls than boys" ___ g = b + 4

"5/7 of the boys and 2/3 of the girls take the floor for the first dance" ___ 5b / 7 = 2g / 3 ___ 15b = 14g

substituting ___ 15b = 14(b + 4) ___ 15b = 14b + 56 ___ b = 56
RELATED QUESTIONS
There are 5 boys and 8 girls at a dance if hetty and betty refuse to dance with blake and (answered by ikleyn)

There are 46 boys and girls that attend a play. There are 8 more girls than boys. Let X... (answered by dkppathak)

There are 159 students at the dance. The number of girls is 1/2 the number of boys plus... (answered by Alan3354)

When there are 30 girls in a dance, there are 12 boys in the dance. When there are 45... (answered by fractalier)

homecoming dance tickets are $35 for couples and 20 for singles.If there were 28 people... (answered by joecbaseball)

There are fifteen girls and three boys in a dance class. If a leader is chosen at random, (answered by Boreal)

This is a solving a system of equtions problem: There are 102 people at the dance.... (answered by Boreal)

The ratio of girls to boys of a dance group is 5:3. Thee would had been equal numbr of... (answered by ankor@dixie-net.com)

Write a system of two equations in two unknowns for each problem. Solve each system by... (answered by checkley77)