"10 dollars per one child plus 2 per additional child" ----> 10 + 2x
"8 dollars per one child + 3 per additional child" ----> 8 + 3x
set them equal to each other and solve for x
princeevee:
so the equation is 10+2x = 8+3x?
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princeevee:
if so, 2
Vocaloid:
yes, x = 2
however, x in this case equals "any additional children after the first child" so we'd have to add 1 to that to get 3 as our solution
good attempt but keep in mind you have to multiply both sides of the equation by the same number
try to pick a number that will allow you to eliminate both 3 and 7 from the denominator
princeevee:
so...
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princeevee:
i'm guessing the bottom right?
Vocaloid:
good
since 21 is a common multiple of 3 and 7 it will eliminate both fractions
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Vocaloid:
hearthtown ---> "starts at 88 and decreases by 2 per day" ----> 88 - 2x
polk ---> "starts at 52 and increases by 4 per day" ----> 52 + 4x
set them equal to each other + solve for x
princeevee:
6?
Vocaloid:
good
however, since we set the initial day on january 1st, 6 days later ends up being January 7th, so your solution should be 7