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Anna71 [15]
2 years ago
15

Mr. Lee left his fortune to his 3 sons, 4 daughters and his wife. Each son received twice as much as each daughter and his wife

received $6000, which was a quarter of the money. How much did each son receive?
Mathematics
1 answer:
ivolga24 [154]2 years ago
6 0

Hey there! :)

Answer:

$3600.

Step-by-step explanation:

If the wife received $6000 which is a quarter of the money, solve for the total amount of the fortune:

1/4x = 6000

Multiply both sides by 4:

x = $24000

We can begin by subtracting the wife's amount from the total:

24000 - 6000 = $18000

He has 3 sons and 4 daughters. Let 'x' represent the amount the daughters received, and '2x' the amount the sons received.

18000 = 3(2x) + 4(x)

Distribute and combine the terms:

18000 = 6x + 4x

18000 = 10x

Divide both sides by 10:

18000/10 = 10x/10

x = $1800. This is the amount that each daughter receives. Since the sons receive '2x':

2(1800) = $3600.

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Answer:

1.675 lb

Step-by-step explanation:

Given that Hannah mixed 6.83 lb of pretzels with 3.57 lb of popcorn.

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After filling up 6 bags that were the same size with the mixture, she had 0.35 lb left, so 0.35 lb of the mixture is not in the bag.

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8 0
2 years ago
At a pizzeria, the ratio of pizzas topped with meat to pizzas topped with vegetables was 4:3 on Saturday. The pizzeria made a to
vivado [14]

Answer:

Option B is correct

36 pizzas were topped with vegetables

Step-by-step explanation:

Let x be the number.

As per the statement:

At a pizzeria, the ratio of pizzas topped with meat to pizzas topped with vegetables was 4:3 on Saturday.

The ratio of pizza topped with meat to pizzas topped with vegetables = 4 : 3

then;

the number of pizza topped with meat = 4x

and

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It is also given that the pizzeria made a total of 84 pizzas that day.

\text{Total Pizzas} = \text{Number of pizzas topped with meat}+ \text{Number of pizzas topped with vegetables}

Substitute the given values we get;

84 = 4x+3x

Combine like terms;

84= 7x

Divide both sides by 7 we get;

12 = x

The pizza were topped with vegetables = 3x = 3(12) = 36

therefore, 36 pizzas were topped with vegetables


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