Let's calculate Evan's expenses and see how much money he has left after each purchase.
Evan buys a new bicycle for $396.95.
Money spent so far: $396.95
Money remaining: $580 - $396.95 = $183.05
Evan buys 4 bicycle reflectors for $7.40 each.
Cost of 4 reflectors: 4 x $7.40 = $29.60
Money spent so far: $396.95 + $29.60 = $426.55
Money remaining: $580 - $426.55 = $153.45
Evan buys a pair of bike gloves for $22.94.
Money spent so far: $426.55 + $22.94 = $449.49
Money remaining: $580 - $449.49 = $130.51
Now, Evan plans to spend some or all of the money he has left to buy new biking outfits for $42.10 each. To calculate how many biking outfits he can buy with the remaining money:
Number of biking outfits = Money remaining / Price per biking outfit
Number of biking outfits = $130.51 / $42.10 ≈ 3.10 (rounded to the nearest whole number)
Since Evan can't buy a fraction of a biking outfit, he can buy 3 biking outfits for $42.10 each.
Total spent:
Bicycle: $396.95
Reflectors: $29.60
Gloves: $22.94
Biking outfits (3 x $42.10): $126.30
Total spent = $396.95 + $29.60 + $22.94 + $126.30 = $575.79
Evan spent a total of $575.79, and he has $580 initially, so his remaining balance is:
Initial balance - Total spent = $580 - $575.79 = $4.21
Evan has $4.21 left after all his purchases.