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leonid [27]
3 years ago
9

Please help me with this problem

Mathematics
1 answer:
juin [17]3 years ago
8 0
My guess would be less than $25
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In 1995, Hazel was 25 years older than her son Gary. In 2022, Hazel's age will be 150% of Gary's age. How old were they in 1995?
Kitty [74]
So find the difference between 1995 and 2022 to make it easier
2022-1995=27

so the rephrased question is
when hazel was x years old, she was 25 years older than son gary who was y old at that time (equation is x is 25 more than y or x=25+y)
in 27 years, (this means x+27 and y+27) hazel's age will be 150% of gary's age (x+27= 150% of y+27)
percent means parts out of 100  so 150%=150/100=15/10=1.5
'of' in math means multiply so
the equations are
x=25+y
x+27=1.5(y+27)
subsitute 25+y for x in second euation
25+y+27=1.5(y+27)
add like terms
y+52=1.5(y+27)
I personally dislike decimals to multiply both sides by 2 to make 2 0.5's or 1 (you are technically supposed to distribute or divide both sides by 1.5) so
2y+104=3(y+27)
distribute
2y+104=3y+81
subtract 2y from both sides
104=y+81
subtract 81 from both sides
23=y
subsitute
x=25+y
x=25+23
x=48


Hazel was 48 and Gary was 23 in the year of 1995
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3 years ago
Chin canned a number of quart jars and a number of pint jars of tomatoes from his garden. A pint is 16 ounces and a quart is 32
saveliy_v [14]
<span><span>Chin canned a number of quart jars and a number of pint jars of tomato. She canned total of 40 quarts, now what equation model did Chin used in the scenario 

let’s simplify the problem:
Pint = 16oz
quart = 32oz

what model best show to get 40quarts.
=> p + q = 40
=> 16p + 32q = 40

 the equation model that Chin used to get 40 quarts is p + q.</span></span><span> </span>
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Answer:

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Step-by-step explanation:

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Troyanec [42]
(x+1)(x−1)(2) =2x^2−2
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