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Solnce55 [7]
3 years ago
10

Victoria, Wanda, and Yvonne went out for a meal together. When the bill came, they thought they would divide it equally between

them. However, Yvonne admitted to having chosen more expensive dishes and noticed that her total was $3 more than the amount she would have paid if they split it equally.
If Victoria and Wanda’s bills were $12 individually, how much was Yvonne’s?
Mathematics
1 answer:
Pani-rosa [81]3 years ago
8 0

Answer:

Yvonne's bill = $16.5

Step-by-step explanation:

let

Total of the bill = a

If they split the bill equally = a/3

Yvonne's bill = 3 + a/3

Victoria's bill = $12

Wanda's bill = $12

a = 3 + a/3 + 12 + 12

collect like terms

a - a/3 = 27

(3a - a )/3 = 27

2a/3 = 27

cross multiply

2a = 81

divide both sides by 2

a = 81/2

a = 40.5

Yvonne's bill = 3 + a/3

Yvonne's bill = 3 + 40.5/3

Yvonne's bill = 3 + 13.5

Yvonne's bill = $16.5

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The school cafeteria sells two kinds of wraps: vegetarian and chicken. The vegetarian wrap cost $1 and the chicken wrap cost$1.8
vfiekz [6]
Let us assume the number of vegetarian wraps made = x
Let us assume the number of chicken wraps made = y
Then
x + y = 70
x = 70 - y
And
x + 1.80y = 98.80
Putting the value of x from the first equation in the second equation, we get
x + 1.80y = 98.80
70 - y + 1.80y = 98.80
0.80y = 28.80
y = 36
Putting the value of y in the first equation, we get
x + y = 70
x + 36 = 70
x = 34
From the above deduction, we can conclude that the number of vegetarian warps sold was 34. I hope the answer has come to your desired help.
6 0
3 years ago
Complete the missing value in the solution to the equation.<br> y=-2x+4<br> y=-2
anygoal [31]

Answer:

X=3,y=-2

Step-by-step explanation:

This is a simultaneous equation question and we will have to solve using substitution method

So let's solve

y=-2x+4...(1)

y=-2....(2)

Let's substitute (2) into (1)

-2=-2x+4

Substrate 4 from both sides

-6=-2x

Divide both sides by-2

x=3

Substitute the value of x in (1)

y=-2(3)+4

y=-6+4

y=-2

Therefore x is 3,y is -2

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3 years ago
Just help, my brain shutdown and its currently 9:51, so help me asap. &lt;3
Sergeu [11.5K]

Answer:

B hope this helps!

Step-by-step explanation:

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4 0
3 years ago
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5 0
3 years ago
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Linda won $200,000 in a state lottery. She first paid income tax on 30% on the winnings. She invested some of the rest at 1.5% a
Lady_Fox [76]

She invested $ 50000 at 1.5% rate and $ 90000 at 4% rate.

<u><em>Explanation</em></u>

Total amount of winnings = $ 200000

She first paid income tax on 30% on the winnings. So, the amount paid as income tax =(200000*0.30)dollar=60000 dollar.

<u>Remaining amount</u> = $ 200000 - $ 60000 = $ 140000

Suppose, she invested  x dollar at 1.5% rate.

That means, she invested (140000-x) dollar at 4% rate.

Given that, the total amount of interest earned = $ 4350

So, the equation will be.....

0.015x+0.04(140000-x)=4350\\ \\ 0.015x+5600-0.04x=4350\\ \\ -0.025x= 4350-5600\\ \\ -0.025x=-1250\\ \\ x= \frac{-1250}{-0.025}=50000

So, amount of investment at 1.5% rate = $ 50000

and amount of investment at 4% rate = $ 140000 - $ 50000 = $ 90000  


5 0
3 years ago
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