Question

An employee at a party store is assembling balloon bouquets. For a graduation party, he assembled 2 small balloon bouquets and 3 large balloon bouquets, which used a total of 75 balloons. Then, for a Father's Day celebration, he used 33 balloons to assemble 2 small balloon bouquets and 1 large balloon bouquet. How many balloons are in each bouquet?

Answer 1

There are 6 balloons in small bouquet and 21 balloons in large bouquet.

Step-by-step explanation:

Let,

Number of balloons in small balloon bouquet = x

Number of balloons in large balloon bouquet = y

According to given statement;

2x+3y=75    Eqn 1

2x+y=33      Eqn 2

Subtracting Eqn 2 from Eqn 1

$(2x+3y)-(2x+y)=75-33\\2x+3y-2x-y=42\\2y=42$

Dividing both sides by 2

$\frac{2y}{2}=\frac{42}{2}\\y=21$

Putting y=21 in Eqn 2

$2x+21=33\\2x=33-21\\2x=12$

Dividing both sides by 2

$\frac{2x}{2}=\frac{12}{2}\\x=6$

There are 6 balloons in small bouquet and 21 balloons in large bouquet.

Keywords: linear equation, subtraction

Learn more about subtraction at:

• brainly.com/question/7932185
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