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tomas makes balloon sculptures at a circus.in 180 minutes,he uses 252 balloons to make 36 identical balloon sculptures.


a. how many minutes does it take to make one balloon sculpture?how many balloons are vused in one sculpture?

b. what is tomas's unit rate for balloons used per minute.

c. complete the diagram to find out how many b balloons he will use in 10 min



Answer :

The correct answers are:
 A) 5 minutes, 7 balloons;
B) 1.4 balloons/minute;
C) 14 balloons.

Explanation:
A) He makes 36 sculptures in 180 minutes. To find the number of minutes to make 1 sculpture, divide by 36: [tex] \frac{180}{36} [/tex]=5. He uses 252 balloons to make 36 sculptures. To find the number of balloons in 1 sculpture, divide by 36: [
tex] \frac{252}{36} [/tex]=7.

B) He uses 7 balloons in 5 minutes. A unit rate is a rate where the denominator is 1; to find this, divide: [tex] \frac{7}{5} [/tex]=1.4 balloons/minute.

C) Since he uses 1.4 balloons per minute, multiply by 10 to find the number of balloons in 10 minutes: 1.4 balloons/min *10 min = 14 balloons

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