Question

Jasper earns his living baking Uncle Isaac’s shortbread cookies. Over the course of a month, he averages baking 105 dozen cookies each day. On any 1 given day he may fall as much as 20% below his average, while on any other given day he may produce as much as 15% above his average. Not knowing what kind of day today is for Jasper, which of the following correctly represents the range for c, the number of dozens of cookies Jasper will make today?
F. 84 ≤ c ≤ 105
G. 105 ≤ c ≤ 120.75
H. 80 ≤ c ≤ 115
J. 84 ≤ c ≤ 120.75
@AriPotta

Answer 1

so find 20% of 105, and subtract it from 105. then find 15% of 105, and add it to 105. then you'll have your min. and max. values

Answer 2

so we know that 20% = 0.2. so multiplying .2 and 105 will give you 20% of 105

Answer 3

It gives me 21.

Answer 4

yep, so your answer will have 21 as the least value, so we can automatically eliminate choices G and H

Answer 5

lol whoops. 105 - 21 = 84, that's what i was going for

Answer 6

Ok. And for 15% of 105 I got 15.75

Answer 7

so 84 is your least value, sorry

Answer 8

so add 15.75 to 105 and that'll be your max value

Answer 9

120.75

Answer 10

right, so he'll make at least 84 and at most 120.75, which is answer choice J

Answer 11

Thanks for walking me through it instead of just giving me the answer. :)

Answer 12

\(\Large \boldsymbol{ \rlap{\color{#008AFF}{\hspace{2.5pt}n}\color{#0073FF}{\hspace{0.34pt}o} \hspace{3pt}\color{#005CFF}{p} \color{#0045FF}{\hspace{0.9pt}r} \color{#0017FF}{o} \color{#0200FF}{\hspace{1.7pt}b} \color{#3000FF}{\hspace{1.5pt}l} \color{#4700FF}{\hspace{0.4pt}e} \color{#7500FF}{\hspace{0.9pt}m} \color{#8C00FF}{\hspace{0.5pt}o}~\LARGE\color{#D100FF}{\ddot\smile}}{\hspace{1.5pt} no~p\hspace{0.3pt}r\hspace{0.4pt}o\hspace{1pt}b\hspace{1.5pt}l\hspace{0.4pt}e\hspace{0.4pt}m\hspace{0.4pt}o}}\)

Answer 13

an easier way to find 20% less of a number, like we did with 105, is to realize that 20% less is actually 80% total. so 0.8 times 105 = 84

Answer 14

same thing with 15% more. 15% more is the same as 115% so 1.15 times 105 = 120.75

Answer 15

it just eliminates an unnecessary step ;)

Answer 16

System of Elimination it sounds like.

Answer 17

Ok this has nothing to do with this problem, but how good is season 4 of AHS so far? :o

Answer 18

lol, it's ok. definitely not as great as the first season

Answer 19

The 1st was the best lol Evan Peters. <3

Answer 20

\(\Large \color{magenta}{\heartsuit}^{\color{magenta}{\heartsuit}}Handsome\)

Answer 21

Indeed.