Question

Lucy is making a smoothie by following the recipe below

Sunshine smoothie

1 1/3 cups banana
1/2 cup yogurt
1 cup strawberries
3/4 cup orange juice

Place all ingredients in a blender and blend until smooth.

Part A

Will this recipe make enough for Lucy and 3 friends to have 1 cup of smoothie? Explain.

Part B

How much smoothie remains after Lucy gives one of her friends 3/4 cups of smoothie? Show your work.

Answer 1

Part A: No

Part B: 2.83cups

Explanation:

Given that

1 1/3 cups banana = 4/3 cups of banana

1/2 cup yogurt

1 cup strawberries

3/4 cup orange juice

Cups of sunshine smoothie made = addition of all cups of ingredients that make up the smoothie.

Cups of sunshine smoothie = 4/3 + 1/2 + 1 + 3/4

Cups of sunshine smoothie = (16+6+12+9)/12 = 43/12

Cups of sunshine smoothie = 3.583 cups

Part A.

Lucy and 3friends 1 cups each = 4 cups

No, this recipe will not be enough for Lucy and 3 friends to have 1 cup of smoothie each because the total cups of the smoothie made is 3.583 cups of smoothie and Lucy and 3 friend will be taking 4cups of smoothie

Part B

Since to cups of smoothie made is 43/12 cups if Lucy gives one of her friends 3/4 cups

Remain will be, cups made - cups given out

Therefore

43/12 - 3/4

= (43-9)/12

= 34/12

= 2.83 cups

Answer 2

The recipe is enough for Lucy and 3 friends.

And
`=3(10)/(12)` cups of smoothie remains after Lucy gives one of her friends 3/4 cups of smoothie.

Explanation:

There is a mistake in the question the quantity of yogurt should be 1 1/2 cup.

Given:

Lucy is making a smoothie using ingredients:

1 1/3 cups banana = 4/3 cups banana.

1/2 cup yogurt = 3/2 cups yogurt.

1 cup strawberries.

3/4 cup orange juice.

Now, to find will this recipe make enough for Lucy and 3 friends to have 1 cup of smoothie and quantity of smoothie remains after Lucy gives one of her friends 3/4 cups of smoothie.

So, we add the given ingredients to get the total quantity of smoothie:

`(4)/(3) +(3)/(2) +1+(3)/(4)`

Taking the same denominator we get:

`=(16+18+12+9)/(12)`

`=(55)/(12)`

`=4(7)/(12) .`

Thus,
`=4(7)/(12)` is enough for Lucy and 3 friends to have 1 cup of smoothie.

Now, to get the smoothie remains after Lucy gives one of her friends 3/4 cups of smoothie:

Subtracting 3/4 cups of smoothie from the total quantity of smoothie:

`(55)/(12) -(3)/(4)`

`=(55-9)/(12)`

`=(46)/(12)`

`=3(10)/(12)`

Therefore, the recipe is enough for Lucy and 3 friends. And
`=3(10)/(12)` cups of smoothie remains after Lucy gives one of her friends 3/4 cups of smoothie.