Joakim is icing 30 cupcakes he spreads mint icing on one fifth of the cupcakes and chocolate on one half of the cup remaining cupcakes the rest will get vanilla icing how many cupcakes will have vanilla icing

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We have 30 cupcakes...

There will be 6 cupcakes with mint icing(6 is 1/5 of 30)

There will be 15 cupcakes with chocolate(15 is 1/2 of 30)

15 + 6 = 21...

This leaves 9 cupcakes that will have vanilla icing

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9 cupcakes will have vanilla icing.

  • Joakim total amount of cupcakes = 30

Further Explanation

Step 1:

Total amount of cupcakes used for mint icing = [tex]\frac{1}{5}[/tex] of 30 [cupcakes] otherwise expressed as [tex]\frac{1}{5}[/tex] x 30

= [tex]\frac{1}{5}[/tex] x 30

= 1 x 30 ÷ 5

= [tex]\frac{30}{5}[/tex]

= 6

Thus, [tex]\frac{1}{5}[/tex] of 30 cupcakes = 6

Step 2

Total amount of cupcakes used for chocolate icing = [tex]\frac{1}{2}[/tex] of 30 [cupcakes] and can be expressed as [tex]\frac{1}{2}[/tex] x 30

= [tex]\frac{1}{2}[/tex] x 30

= 1 x 30 ÷ 2

= [tex]\frac{30}{2}[/tex]

= 15

Therefore, [tex]\frac{1}{2}[/tex] of 30 cupcakes = 15

Step 3:

To determine the amount of cupcakes that will contain vanilla icing, the total value of the addition of the total amount of cupcakes used for both mint icing and chocolate icing would be derived, and subtracted from the total given cupcakes.

Therefore, Total amount of cupcakes used for both mint icing and chocolate icing respectively =

[tex]\frac{1}{5}[/tex] of 30 [6] + [tex]\frac{1}{2}[/tex] of 30 [15]

= 6 + 15

= 21

Therefore, the total cupcakes to be used for vanilla icing will be:

30 – 21

= 9

Hence, 9 cupcakes would be used for vanilla icing.

The illustration and expression above is a mathematical problem and falls under the number category. Order of operations i.e BODMAS was used to derive solution to the given question.

LEARN MORE:

  • Numbers brainly.com/question/12122144
  • What does BODMAS stand for https://brainly.com/question/9352422

KEYWORDS:

  • Joakim
  • icing 30 cupcakes
  • one fifth of the cupcakes
  • BODMAS
  • vanilla icing

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