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Trava [24]
3 years ago
6

Homewood Middle School has 1200 students, and 730 of these students attend a summer picnic. If two-thirds of the girls in the sc

hool and one-half of the boys in the school attend the picnic, how many girls attend the picnic?
Mathematics
1 answer:
Marysya12 [62]3 years ago
4 0

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

A+B=1200\ equation (1) \\\frac{2A}{3}+\frac{B}{2}=730\ equation(2)\\

Step 3

find A and B

from equation (1)

A=1200-B\ equation\ (3)\\\\

from equation (2)

\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

total girls attended  the picnic=(2/3)A=(2/3)780=520

520 girls attended the picnic

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