Question

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

An employee at a party store is assembling balloon bouquets. For a graduation party, he assembled 6 small balloon bouquets and 6 large balloon bouquets, which used a total of 150 balloons. Then, for a Father's Day celebration, he used 60 balloons to assemble 6 small balloon bouquets and 1 large balloon bouquet. How many balloons are in each bouquet?

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

Answer 1

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

18 balloons.

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