On a certain hot summer's day, 557 people used the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totalled $1146.75. How many children and how many adults swam at the public pool that day?

Adults:193

children:295

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb

step-by-step explanation:

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