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SashulF [63]
3 years ago
9

your sister can get $30 per day for selling clothes at the market. but she has to $60 at first for renting a stand. you can get

$20 per day for helping neighbor rake lawns.after how many days will your sister earn as much as you?
Mathematics
2 answers:
ella [17]3 years ago
8 0
Day Sis you
1 -30 20
2 0 40
3 30 60
4 60 80
5 90 100
6 120 120

So day 6.
Sophie [7]3 years ago
3 0

Answer:

After 6 days

Step-by-step explanation:

Let x represent the number of days after which the my earning and my sister's earning will be same,

∵ sister gets $ 30 per day,

So, her revenue after x days = 30x,

Also, her expenses in renting = $ 60,

Thus her earning = revenue - expenses = 30x - 60

Now, my earning is $ 20 per day,

So, my earning after x days = 20x

⇒ 30x - 60 = 20x

30x - 20x = 60,

10x = 60

⇒ x = 6

Hence, after 6 days my earning and my sister's earning is same.

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<u>Step-by-step explanation:</u>

Case 1: LCM (3, 6)

Prime factorization of 3:  1 \times 3

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Using all prime numbers found as often as each occurs most often we take

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Case 2: LCM (5, 6)

Prime factorization of 5:  1 \times 5

Prime factorization of 6:  2 \times 3

Using all prime numbers found as often as each occurs most often we take

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Using all prime numbers found as often as each occurs most often we take

                    5 \times 2 \times 3=30

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Prime factorization of 5:  1 \times 5

Prime factorization of 10: 2 \times 5

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