If Haley's ant farm doubles in population, she will have 122 more ants in her farm than Nate does. Haley's ant farm currently has 76 more ants than half of what Raven has in hers. Raven has 208 ants in her ant farm. How many ants are in Nate's ant farm?

Question

Mathematics

Hayden Nash

31 December, 10:32

If Haley's ant farm doubles in population, she will have 122 more ants in her farm than Nate does. Haley's ant farm currently has 76 more ants than half of what Raven has in hers. Raven has 208 ants in her ant farm. How many ants are in Nate's ant farm?

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Strong · Answer 1

238

Step-by-step explanation:

Start with Raven's ants since hers is the one that everyone else's is based off of.

Raven = 208

Haley has half of that plus 76, so

Haley = (208/2) + 76

Haley = 180

If Haley's farm doubles in population, she would have 360 ants. That number is equal to Nate's number + 122. We have an equation of sorts there to solve for Nate's ants:

180 (2) = N + 122 so

360 = N + 122 and

N = 238

Nate has 238 ants in his farm.