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Guadalupe Elementary and Granada Elementary are sister schools from oppositeends of the city. This year they jointly organized a field trip. Ms. Morris of Guadalupe knew that 81 of their 5th-graders are going, at a 5:4 boy-to-girl ratio. She knew that the 5th-graders from Granada would have a 4:7 boy-to-girl ratio, but she was not told how many of them were going. The camp site directortold her that based on the reservation, the final ratio was exactly 1:1.How many 5th-graders from Granada were going to the field trip?

 Jan 10, 2021
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81 students at 5:4 boy to girl ratio

so there are 45 boys and 36 girls

 

Let B = boys

Let G = girls

45 + 4B = 36 + 7G

9 = 7G - 4B

 

if we let G equal 3 and B equal 3, then the equation works

so there are 12 boys and 21 girls from Granada

12 + 21 = 33 5th-graders from Granada

 

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 Jan 10, 2021

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