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3 years ago

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Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used. He has another gift card for $145 that loses

$3.50 for each 30-day period it is not used. Write an equation for the number of 30-day periods until the value of the gift cards will be equal. Let x represent the number of 30-day periods.

1 answer:

sweet [91]3 years ago

3 0

Answer:

Equation 1 = Equation 2

165 - 4x = 145 - 3.50x

Step-by-step explanation:

Let x represent the number of 30-day periods.

Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used.

Therefore the equation =

$165 -$4 × x

= 165 - 4x.......... Equation 1

He has another gift card for $145 that loses $3.50 for each 30-day period it is not used.

$145 -$3.50 × x

= 145 - 3.50x........... Equation 2

Hence, an equation for the number of 30-day periods until the value of the gift cards will be equal is obtained by equating Equation 1 and Equation 2 together

So, we have

Equation 1 = Equation 2

165 - 4x = 145 - 3.50x

We simplify further:

165 - 145 = -3.50 + 4.0x

20 = 0.5x

x = 20/0.5

x = 40

Therefore, number of each 30-day periods until the value of the gift cards will be equal is 40

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hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა

⊱┈────────────────────────┈⊰

$\large \bold {ANSWER}$

$\implies \boxed{\underline{\huge{\tt{\orange{\: \: 9\% \: \: }}}}}$

9% of the family income is being spent to pay the energy bill.

$\large \bold {SOLUTION}$

<h2>HOW TO FIND OUT THE PERCENTAGE?</h2>

If your income is now $2,000.00 and you have withdrawn $180.00 from the value, then we say that the $2,000.00 is equivalent to 100% of the value, that is, the total amount. And the amount that was withdrawn will be X because we still don't know how much percent is equivalent to $ 180.00 of this value.

To solve, we will use the simple rule of three like this:

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With this we will multiply the denominator of one with the numerator of the other, being:

2000 * X and 180 * 100
Where: 2000 * x is equal to 2000x
And 180 * 100 is equal to 18,000

Knowing this, we will solve it this way:

2000x = 18,000

To start we will isolate the unknown(x) from the values taking the 2000 to the other side of the equality turning it into the denominator of 18,000.

$x = \frac{18000}{2000}$

And to finish, we cut the 3 zeros of the numerator with the d 3 zeros of the denominator getting 18 / 2. Now it's just dividing.

$\begin{gathered}x = \frac{18}{2} \\ \\ x = 9\end{gathered}$

We can conclude that the amount spent to pay the <u>energy bill is equivalent to 9% of the family income</u>.

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