Mathematics, 26.01.2021 05:30 dogsrdabest

I NNEEE HEL PLEAS Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
An employee at a party store is assembling balloon bouquets. For a graduation party, he assembled 7 small balloon bouquets and 8 large balloon bouquets, which used a total of 193 balloons. Then, for a Father's Day celebration, he used 92 balloons to assemble 8 small balloon bouquets and 2 large balloon bouquets. How many balloons are in each bouquet?

The small balloon bouquet uses_ balloons and the large one uses_ balloons.

Answers: 2

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Answer from: rose200215

The small balloon bouquet uses 7 balloons and the large one uses

18 balloons.

Step-by-step explanation:

Let's say that small balloon bouquets are S and large balloon bouquets are L. For the graduation party the employee assembled 6 small bouquets and 6 large bouquets, the total number of balloon used is 150. To put the sentence into an equation will be:

6S + 6L= 150

S+L= 25 > 1st equation

For Father's Day, the employee uses 6 small bouquet and 1 large bouquet, the total number of balloons used is 60. The equation will be:

6S + 1L= 60

1L= 60- 6S > 2nd equation

We can solve the number of small balloon bouquet by substitute the 2nd equation into 1st. The calculation will be:

S+L = 25

S+ (60-6S)= 25

-5S= 25-60

-5S= -35

S= -35/-5

S=7

Then we can find L by substitute S value to 1st or 2nd equation.

S+L=25

7+L=25

L=18

Hope this helps ;)

Answer from: baller560

193 = 7s + 8l ( Grad Party Equation)

92 = 8s + 2l (Father's Day Equation)

The small balloon bouquet uses 7 balloons and the large one uses 18 balloons

Step-by-step explanation:

First we need to separate something, I chose l...

92 = 8s + 2l2l = 92 - 8sl = 46 - 4s

...and we can replace this for l in the other equation!

193 = 7s + 8( 46 - 4s )193 = 7s + 368 - 32s-175 = -25s7 = s

Now that we have found the number of balloons needed for a small bouquet we can place that in an equation to find out how many balloons it takes to make a large bouquet.

l = 46 - 4(7)l = 46 - 28l = 18

Now just to make sure we got that right. Just check them!

Grad Party Equation

193 = 7s + 8l193 = 7(7) + 8(18)193 = 49 + 144193 = 193

We got one right and the other one...

Fathers Day Equation

92 = 8s + 2l92 = 8(7) + 2(18)92 = 56 + 3692 = 92

We got both right yay!

Answer from: Quest

answer is a

step-by-step explanation:

Aphrase is shown read the phrase and give me the answer

Answer from: Quest

step-by-step explanation: noo

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