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Michele bought a chocolate cake for $12.75 plus 9 cupcakes to bring to a party. Myka bought 24 cupcakes at the same bakery. If Myka and Michele spent the same amount, how much did each cupcake, x, cost?

Respuesta :

Considering the definition of an equation and the way to solve it, each cupcake cost $0.85.

Definition of equation

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The solution of a equation means determining the value that satisfies it and the equality is true. To solve an equation, keep in mind:

  • When a value that is adding, when passing to the other member of the equation, it will subtract.
  • If a value you are subtracting goes to the other side of the equation by adding.
  • When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.
  • If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.

Cost of the cupcake

Being "x" thecost of the cupcake, and knowing that:

  • Michele bought a chocolate cake for $12.75 plus 9 cupcakes to bring to a party. → Amount spent by Michele=12.75 + 9x
  • Myka bought 24 cupcakes at the same bakery. → Amount spent by Myka= 24x
  • Myka and Michele spent the same amount.

the equation in this case is:

Amount spent by Michele= Amount spent by Myka

12.75 + 9x= 24x

Solving:

12.75= 24x - 9x

12.75= 15x

12.75÷ 15= x

0.85=x

Finally, each cupcake cost $0.85.

Learn more about equations:

brainly.com/question/4983716

brainly.com/question/13314678

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