Mathematics, 21.01.2020 06:31 sleepy68

Last weekend, she collected $283 from selling 8 bouquets and 6 table arrangements. the week before, she collected $491 from selling 10 bouquets and 12 table arrangements. what is the price of a table arrangement?

Answers: 3

Show answers

Answers

Answer from: gabbylinton1113

The price of each table arrangement is $30.5

Step-by-step explanation:

Given as :

The Amount collected from selling 8 bouquets and 6 table arrangement = $283

The Amount collected from selling 10 bouquets and 12 table arrangement = $491

Let The price of each bouquets = $b

Let The price of each table arrangement = $a

According the question

Number of bouquets sold × price of each bouquets + number of table arrangement sold × price of each table arrangement = Total amount collected

i.e 8 b + 6 a = $283 .......A

And

10 b + 12 a = $491 ............B

Now, Solving equation a and B

2 × (8 b + 6 a) - (10 b + 12 a) = 2 × 283 - 491

Or, 16 b + 12 a - 10 b - 12 a = 566 - 491

Or, (16 b - 10 b) + (12 a - 12 a) = 75

Or, 6 b + 0 = 75

∴ b = $\frac{75}{6}$

i.e b = $12.5

So, The price of each bouquets = b = $12.5

Put the value of b in eq A

∵ 8 b + 6 a = $283

i.e 8 × 12.5 + 6 a = $283

Or, $100 + 6 a = $283

Or, 6 a = $283 - $100

Or, 6 a = $183

∴ a = $\frac{183}{6}$

i.e a = $30.5

So, The price of each table arrangement = $30.5

Hence, The price of each table arrangement is $30.5 Answer

Answer from: eichlingkera3

Price of a table arrangement = $30.5

Step-by-step explanation:

Let x be the bouquets and y be the table

Given:

she collected $283 from selling 8 bouquets and 6 table arrangements, so the equation is.

8x+6y=283 ---------------(1)

The week before, she collected $491 from selling 10 bouquets and 12 table arrangements, so the second equation is written as.

10x+12y=491 ------------------(2)

We need to find the price of a table arrangement.

Solution:

First we solve the equation 1 for x.

8x+6y=283

8x=283-6y

$x=\frac{283-6y}{8}$

Substitute x value in equation 2.

$10(\frac{283-6y}{8})+10y=491$

Simplify

$\frac{10\times 283}{8}-\frac{10\times 6y}{8} + 12y = 491$

$\frac{2830}{8}-\frac{60y}{8}+12y=491$

Both fraction number divided by 2.

$\frac{1415}{4}-\frac{30y}{2}+12y=491$

$12y-\frac{30y}{4}=491-\frac{1415}{4}$

$\frac{4\times 12y-30y}{4}=\frac{4\times 491-1415}{4}$

$\frac{48y-30y}{4}=\frac{1964-1415}{4}$

Multiply by 4 both side

$4\times\frac{18y}{4}=4\times \frac{549}{4}$

$y=\frac{549}{18}$

Both numerator and denominator divided by 9.

$y=\frac{61}{2}$

y=30.5

Therefore, the price of a table arrangement is $30.5

Answer from: Quest

i dont understand

step-by-step explanation:

Answer from: Quest

step-by-step explanation:

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 12:50, Chartwig4576

Which is the most efficient first step to solve x in the equation 3.7x - 18 = -4.3x -34 a. add 3.7x to both sides of the equation. b. add 4.3x to both sides of the equation. c. subtract 18 from both sides of the equation. d. subtract 34 from both sides of the equation.

Answers: 3

continue

Mathematics, 21.06.2019 19:00, coryowens44

Write a fraction less than 1, which has a denominator of 6 and is greater than 3/4 plz answer !

Answers: 1

continue

Mathematics, 21.06.2019 20:50, autumnxng3094

A. what is the area of the base? use complete sentences to explain your reasoning. b. what is the volume of the prism? use complete sentences to explain your reasoning.

Answers: 1

continue

Mathematics, 22.06.2019 00:10, ousvp21

Of f(x) is byof f(x)=-3|x| x-.f(x)? a )f(x)=3|x| b) f(x)=|x+3| c) f(x)= -3|x| d) f(x)= -|x+3|

Answers: 2

continue

You know the right answer?

Last weekend, she collected $283 from selling 8 bouquets and 6 table arrangements. the week before,...