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HACTEHA [7]
3 years ago
6

Abdul baked 300 cookies ,480 muffins and 240 cupcakes.Each container should be similar in terms of the numberof cookies, muffins

and cupcake . A. What is the greatest number of containers he can pack? B. How many cookies ,muffins and cupcakes will there be in each container
Mathematics
1 answer:
Reptile [31]3 years ago
4 0

Answer:

(a) 60 cups

(b) 5 cookies, 8 muffins and 4 cupcakes in each container

Step-by-step explanation:

Given

Let:

C \to Cookies; M \to Muffins; K \to Cupcakes

So:

C : M : K = 300 : 480 : 240

Solving (a): The greatest number of containers to be used;

To do this, we first reduce the ratio to the lowest

C : M : K = 300 : 480 : 240

Divide by 60

C : M : K = 5 : 8 : 4

<em>The ratio cannot be further reduced. Hence, he will use 60 cups</em>

Solving (b): The number in each cup

In (a), we have:

C : M : K = 5 : 8 : 4

This means that;

<em />C = 5<em> --- Cookies</em>

<em />M = 8<em> --- Muffins</em>

<em />K = 4<em> -- - Cupcakes</em>

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Answer:

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Step-by-step explanation:

The tree diagram is as follows

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 ║                           ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                           ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒a pair of black pants (b)

 ║                                       ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                                       ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║          

 ║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒   pair of shorts (s)    

 ║                                       ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                                       ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║

 ║  

white (w) ⇒⇒⇒⇒⇒ a pair of jeans (j)

 ║                           ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                           ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒a pair of black pants (b)

 ║                                       ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                                       ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

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 ║                                       ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                                       ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║          

 ║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒   pair of shorts (s)    

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Sara has 3 shirts 3 (pants+ shorts) and 2 shoes to choose from

She has 3*3*2= 18 combinations to choose from

 

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