Respuesta :
Answer:
520 girls attended the picnic
Step-by-step explanation:
Hello
step 1
Let
Homewood middle school total students=1200
A=unknown=total of girls
(2/3)A=total girls attended the picnic
B=unknown= total of boys
(1/2)B=total boys attended the picnic
step2
replace
[tex]A+B=1200\ equation (1) \\\frac{2A}{3}+\frac{B}{2}=730\ equation(2)\\[/tex]
Step 3
find A and B
from equation (1)
[tex]A=1200-B\ equation\ (3)\\\\[/tex]
from equation (2)
[tex]\frac{2A}{3}+\frac{B}{2}=730\\\frac{2A}{3}=730-\frac{B}{2}\\A=(730-\frac{B}{2})*\frac{3}{2} \\1200-B=1095-\frac{3B}{4}\\A=A\\-B+\frac{3B}{4}=1095-1200\\-\frac{B}{4}=-105\\ B=420\\\\hence\\\\A=1200-B\\A=1200-420\\A=780[/tex]
total girls attended the picnic=(2/3)A=(2/3)780=520
520 girls attended the picnic
Answer:
520
Step-by-step explanation:
i also got the problem and got it wrong - i found the answer is 520