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Heidi's mom made flower arrangements for a party. She made 4 times as many rose arrangements as tulip arrangements. Heidi's mom made 40 arrangements. How many flower arrangements of each type did Heidi's mom make? Complete the bar model. write an equation and solve

Respuesta :

8 tulip arrangements
32 rose arrangments

Answer:

Heidi'd mom made 32 rose arrangements and 8 tulip arrangements.

Step-by-step explanation:

Let the number of rose arrangements be = x

Let the number of tulip arrangements be = y

Heidi's mom made 4 times as many rose arrangements as tulip arrangements.

We get the equation;

[tex]x=4y[/tex]        

Heidi's mom made 40 arrangements. We get the second equation:

[tex]x+y=40[/tex]          

Substituting the value of x from first equation to second equation, we get

[tex]4y+y=40[/tex]

=> [tex]5y=40[/tex]

Dividing both sides by 5;

y = 8

And x = 4y

So, [tex]x=4(8)=32[/tex]

x = 32

Hence, Heidi'd mom made 32 rose arrangements and 8 tulip arrangements.

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