Fred and ethyl had 132 flowers altogether at first. After Fred sold 1/4 of his flowers and Ethyl sold 48 of her flowers, they had the same number of flowers left. How many did they each have at first?

Answers

Answer 1

Answer: F + E = 132
3/4 F = E - 48 ( after Fred sold 1/4 of his flowers there is 3/4 flowers left )
--------------------
E = 132 - F
3/4 F = 132 - F - 48
3/4 F + F = 84
7/4 F = 84
F = 84 : 7/4 = 84 * 4/7 = 48
E = 132 - 48 = 84
We can prove it: 3/4 * 48 = 84 - 48
36 = 36 ( correct )
Answer:
Fred had 48 flowers and Ethel 84 flowers.

Answer 2

Answer:

Fred had 48 flowers.

Ethyl had 84 flowers.

Further explanation

Simultaneous Linear Equations could be solved by using several methods such as :

Elimination Method

Substitution Method

Graph Method

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

Let :

Number of Fred's Flowers = f

Number of Ethyl's Flowers = e

Fred and ethyl had 132 flowers altogether at first.

$f + e = 132$

$f = 132 - e$ → Equation 1

After Fred sold 1/4 of his flowers and Ethyl sold 48 of her flowers, they had the same number of flowers left.

$f - (1)/(4)f = e - 48$

$(3)/(4)f = e - 48$

$(3)/(4)(132 - e) = e - 48$ ← Equation 1

$(3)/(4)(132) - (3)/(4)e = e - 48$

$99 + 48 = (3)/(4)e + e$

$147 = (7)/(4)e$

$e = 147 / (7)/(4)$

$e = \boxed{84}$

$f = 132 - e$

$f = 132 - 84$

$f = \boxed {48}$

Learn more

Perimeter of Rectangle : brainly.com/question/12826246

Elimination Method : brainly.com/question/11233927

Sum of The Ages : brainly.com/question/11240586

Answer details

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations

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Answers

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Further Explanation

The blanket length is 2.25 m

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The blanket usually in rectangular shape, so to calculate the area of the blanket would be:

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Here is how to do decimal numbers multiplication:

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1800

235 +

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to multiply decimal numbers, it is the same process as multiply the whole numbers, except the decimal place position. In the calculation above:

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Back to the question, after we find out the blanket's area in meters, let's convert it to centimeters

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ok so what you should do is

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Alex was counting his coins by 2s. because one coin was left over he counted them by 3s. again there was one coin left over so he counted by 4s the 5s the 6s and finally 7s. each time there was one left over. knowing that alex did not have more than 800 coins exactly how many coins did he have

Answers

To know that Alex did not have more than 800 coins exactly.Alex had 421 coins.

Well, we know that however many coins he does have, x, is not more than 800 AND cannot be divided by 2, 3, 4, 5, 6, or 7.

So,we need to find a number that can divide into 800 but the rest cannot.

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Counting is the process of determining the number of elements of a finite set of objects, i.e., determining the size of a set.

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To satisfy the 4 equations above x must be of the form

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Therefore Alex had 421 coins.

To learn more about the counting visit:

brainly.com/question/25135937

#SPJ2

(My process of thinking)

Well, we know that however many coins he does have, x, is not more than 800 AND cannot be divided by 2, 3, 4, 5, 6, or 7. So, I need to find a number that can divide into 800 but the rest cannot.
x mod 3=1, x mod 4= 1, x mod 5 = 1 and x mod 7 =1.
Note that if x mod 3 =1 and x mod 4 =1 then x must be of the form 12a+1. So (12a+1) mod 2= 1
and (12a+1) mod 6 =1. That is you need not have the equations for 2 and 6.
To satisfy the 4 equations above x must be of the form (3*4*5*7)b+1 =420b+1. Knowing that x <800 we get that b=1 and so x=421. Alex had 421 coins!

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