New pump:
5 hours = 1 pool
1 hour = 1/5 pool
Old pump:
15h = 1 pool
1h = 1/15 pool
If both work together
1h = 1/5 + 1/15 = 4/15 pool
4/15 pool = 1 hour
1/15 pool = 1/4 hour
15/15 pool = 1/4 x 15
1 pool = 3.75 hours or 3 hours 45 mins
1 Subtract 22 from both sides
13x=4x+38-213x=4x+38−2
2 Simplify 4x+38-24x+38−2 to 4x+364x+36
13x=4x+3613x=4x+36
3 Subtract 4x4x from both sides
13x-4x=3613x−4x=36
4 Simplify 13x-4x13x−4x to 9x9x
9x=369x=36
5 Divide both sides by 99
x=\frac{36}{9}x=
9
36
6 Simplify \frac{36}{9}
9
36
to 44
x=4x=4
Answer: $553
Step-by-step explanation: 500(1.0016666)^60
500(1.10507451358)
552.537256789
$553
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