Question

Fred the clown can create 20 animal balloons every 15 minutes. Complete the table using equivalent ratios. Minutes Number of animal balloons 15 ,20 6 ,45

Answer 1

Answer:

Since 20 balloons = 15 minutes

15 balloons =

cross multiply

225/20

= 11.25

minutes

for 6 ballons

Since 20 balloons = 15 minutes

6 balloons =

90/20

= 4.5 minutes

For 45 balloons

Since 20 balloons = 15 minutes

45 balloons =

45 × 15 /20

675/20

33.75 minutes

Answer 2

The complete chart is as follows;

________________________ Minutes | Number of balloons|

|15 min | 20 |

|6 min | 4.5 |

|45 min | 33.75 |

GIVEN

Fred the clown can create 20 animal balloons every 15 minutes.

TO FIND

To complete the table using equivalent ratios.

SOLUTION

We can simply solve the above problem as follows;

We know that the equivalent ratios are those ratios that which are equal to each other in their simplified forms .

Number of balloons made = 20

Time taken = 15 minutes

Ratio of balloon made to time taken = 20/15 = 4/3 = 4:3

Now,

Number of animals balloon made = 6

Let the time take be x

Using equivalent ratio -

4:3 :: 6 : x

4x = 6×3

x = 18/4 = 4.5

Time taken to make 6 animal balloons is 4.5 minutes.

Similarly,

Number of balloons = 45 4.5

Let time taken be x

Using equivalent ratio -

6:4.5 :: 45 : x

6x = 45×4.5

x = 33.75 minutes

Hence, The complete table is as follows; _________________________ |Minutes | Number of balloons|

|15 min | 20 |

|6 min | 4.5 |

|45 min | 33.75 |

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