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Omar has $660 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. He buys a new bicycle for $330.64. He buys 2 bicycle reflectors for $15.34 each and a pair of bike gloves for $34.47. He plans to spend some or all of the money he has left to buy new biking outfits for $36.30 each. Which inequality can be used to determine xx, the maximum number of outfits Omar can purchase while staying within his budget?

Sagot :

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Answer:

330.64 +2· 15.34 + 34.47 + 36.30·x ≤ 660

Step-by-step explanation:

Money he has:

$660 "Omar has $660 to spend "

Money he spends:

$330.64 "A new bicycle for $330.64." $330.64 +

+2· $15.34 "He buys 2 bicycle reflectors for $15.34 each"

+$34.47 "a pair of bike gloves for $34.47."

+x·$36.30 "new biking outfits for $36.30 each", where x-is the number of outfits he can buy

$330.64 +2· $15.34+$34.47 + $36.30·x

The inequality that can be used to determine x, the maximum number of outfits Omar can purchase while staying within his budget is:

$330.64 +2· $15.34+$34.47 + $36.30·x ≤ 660

The maximum number of outfits he can buy is:

330.64 +2· 15.34 + 34.47 + 36.30·x ≤ 660, we first do multiplication 2·15.34

330.64 + 30.68 + 34.47 + 36.30·x ≤ 660, add like terms

395.79 +36.30x ≤ 660, subtract 395.79 from both sides

36.30x ≤ 660 - 395.79, combine like terms 660 - 395.79

36.30x ≤ 264.21, divide both sides by 36.30

x ≤ 264.21/36.30, divide and round to the nearest hundredths

x ≤ 7.28

To stay on budget Omar can buy 7 outfits.

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