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ratelena [41]
3 years ago
9

Mary is painting pumpkins to earn money. She plans on selling each pumpkin for $7.50. She currently has $200 in her savings acco

unt. Is the amount of money in her bank account proportional to the number of pumpkin she sells?
Mathematics
1 answer:
bixtya [17]3 years ago
7 0

Answer: No. It's not proportional

Step-by-step explanation:

The direct proportion in mathematics is expressed as:

y = kx

where

y = $200

k = constant

x = $7.50

We then solve for k

y = kx

200 = 7.50k

k = 200/7.50

k = 26.67

Since k isn't a whole number, then the amount of money in her bank account proportional to the number of pumpkin she sells.

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Mrs Wright spent 2/9 of her paycheck on food and 1/3 on rent. She spent 1/4 of the remainder on transportation. She had $210 lef
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Mrs Wright's paycheck was $ 630

<u>Solution:</u>

Given that,

Mrs Wright spend on food = \frac{2}{9}

Fraction spent on rent = \frac{1}{3}

She spent 1/4 of the remainder on transportation

Remaining left with her = $ 210

Let the paycheck amount be "n"

Now, we know that, paycheck amount = used amount + left over amount

Here, left over amount = 210

Paycheck amount = 2/9 of paycheck on food + 1/3 of paycheck on rent + 1/4 of remainder on transportation + 210

n=\frac{2}{9} n+\frac{1}{3} n+\frac{1}{4}\left(n-\frac{2}{9} n-\frac{1}{3} n\right)+210

Upon simplifying we get,

n=\frac{2}{9} n+\frac{3}{9} n+\frac{1}{4} n\left(1-\frac{2}{9}-\frac{3}{9}\right)+210

n=\left(\frac{2}{9}+\frac{3}{9}\right) n+\frac{1}{4} n\left(1-\frac{(2+3)}{9}\right)+210

On simplification, we get

n=\frac{5}{9} n+\frac{1}{4} n \times \frac{4}{9}+210

\mathrm{n}=\frac{5}{9} \mathrm{n}+\frac{1}{9} \mathrm{n}+210

On adding fractions we get,

\begin{array}{l}{\mathrm{n}=\frac{6}{9} \mathrm{n}+210} \\\\ {\mathrm{n}-\frac{2}{3} \mathrm{n}=210} \\\\ {\frac{1}{3} \mathrm{n}=210} \\\\ {\mathrm{n}=3 \times 210=630}\end{array}

Hence, the paycheck amount is $630

3 0
3 years ago
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