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Black_prince [1.1K]
3 years ago
10

Tariq has earned $54 for cutting the grass of three houses.

Mathematics
1 answer:
alekssr [168]3 years ago
5 0

Answer:

Part A: $198

Part B: 18 lawns

Step-by-step explanation:

Part A:

Find out how much he earns for cutting the grass of one house.

3 houses = 54

1 house = 54 ÷ 3 = 18

11 houses = 18 x 11 = 198

(Final answer)

Part B:

Since you know how much you earn for cutting the grass of one house, take the amount of money needed divided by how much you earn for cutting grass per house.

324 ÷ 18 = 18

(Final answer)

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Step-by-step explanation:

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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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The 2nd term is 3y

Step-by-step explanation:

2x +       3y

__          __

1            2

term     term

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