Question

Lindsay Bedford works at the baseball cap shop. She is paid $6.50 per hour plus $0.45 for each cap she embroiders.

How many caps must she embroider to earn at least $85 in an 8-hour day?

Group of answer choices

85

74

110

73

Answer 1

74

Explanation:

Lindsay wants $85

Lindsay works for 8 hours

$6.50/hour

$0.45/cap

If Lindsay worked for 8-hours (no caps were embroided):

$6.50 x 8 = $52.00

Lindsay wants $85, so she needs:

$85 - $52 = $33 more

Each cap she makes is $0.45, so she needs to make:

$33 ÷ $0.45 = 73.3333 --> 74 caps since 73 is under $33

Therefore Lindsay needs to make 74 caps

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General equation:

($6.50 x hrs) + ($0.45 x cap) = total $$

cap = [total $ - ($6.50 x hrs)] ÷ $0.45

Answer 2

ANSWER - 74

First we must write out our equation

6.50H + .45c= 85.

H represents hours and c represents caps that are embroidered. We know that H(hours,) equals 8 so we can rewrite our equation to look like this.

(6.50 x 8) + (.45 x c) = 85. 6.50 x 8 is 52. Lets subtract 52 from 85. That is 33 dollars. This means 33 dollars must be made from embroidery caps.

Next we will divide 45 cents into 33 dollars until we get our smallest unit. This will tell us how many caps Lindsay embroiders during their eight hour shift. 33 divided by .45 is 73.333_. The three will continue forever, but since you can not make .333 percent of a hat, you have to make a whole to round up to the nearest dollars. Bringing us to our final Answer.

Lindsay will need to make 74 hats during their shift, if the want to make 85 dollars.

HOPE THIS HELPS & GOOD LUCK.