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astra-53 [7]
2 years ago
8

Edy has $450 in her savings account. She deposits $40 each month. Juan has $975 in his checking account. He writes a check for $

45 each month for his cell phone bill. He also writes a check for $20 each month for his water bill. After how many months will Edy and Juan have the same amount of money in their accounts?
Mathematics
2 answers:
NeTakaya2 years ago
8 0
I agree it the answer is in 5 months
Ket [755]2 years ago
4 0

Answer: 5 Months


Step-by-step explanation:

$450 + $40x = $975-$45x-$20x  (combine like terms)

450 + 40x = 975 - 65x (perform inverse operations to get only the variable on one side, what is done to one side must be done to the other)

450 + 40x + 65x = 975 - 65x + 65x

450 - 450 + 105x = 975 - 450

105x = 525 (divide both sides by 105)

x=5

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Answer:

Yes, Nadiya is correct. By multiplying the numerator and denominator by 2, the first fraction equivalent to 2/10 is 4/20.

Step-by-step explanation:

To find a fraction equivalent to 2/10, we need to multiply (or divide) the numerator and denominator by the same nonzero whole number.

As we need an equivalent fraction with a denominator greater than 10, we will need to multiply and not divide.

The first nonzero whole number we have is 1. If we multiply the numerator and denominator by 1, we get 2/10. Obviously, 2/10 is equivalent to 2/10 but the denominator is not greater than 10, so it doesn't help us.

The next whole number is 2. When we multiply the numerator and denominator by 2, we get 4/20. The denominator is not less than 20.

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Therefore, Nadiya is correct.

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