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

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.

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Margaret 2 weeks 2021-09-08T23:41:21+00:00 1 Answer 0

Answers ( )

    0
    2021-09-08T23:42:48+00:00

    Answer:

    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

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45:7+7-4:2-5:5*4+35:2 =? ( )