Jamie purchases 4 chocolate (3.57), 7 strawberry/vanilla, and 7 peanut butter cupcakes for an office party.
<h3>How to write the given information as an expression or an equation?</h3>
The steps involved are:
- Observe the given data and notice the variable terms
- Use operators like multiplication or fraction if it consists of terms like twice or thrice or one fourth etc.
- Use the operators like addition or subtraction (more or less/greater or smaller) in between those variables
- Solve those equations for the required values.
<h3>Calculation:</h3>
Given that,
Jamie is ordering cupcakes for an office party.
There are three flavors - Chocolate, Strawberry/vanilla, and peanut flavors.
Jamie purchased a total of 18 cupcakes for $55.75
The cost for a single cupcake of each flavor is as follows:
Chocolate - $3
Strawberry - $2.75
Peanut - $3.50
Consider the number of cupcakes of each flavor as x, y, and z respectively.
So, the equations we can write from this data are,
x + y + z = 18 and
3x + 2.75y + 3. 50z = 55.75
But it is given that,
There are twice as many chocolate cupcakes purchased as peanut butter cupcakes.
So, z = 2x
Then the above two equations become,
3x + y = 18 and
10x + 2.75y = 55.75
By solving these two equations we get,
x = 3.57 ≅ 4
y = 7.28 ≅ 7
Since we know that z = 2x,
⇒ z = 2 × 3.57 = 7.14 ≅ 7
So,
There are 4 chocolate, 7 strawberry, and 7 peanut cupcakes.
Learn more about expressions and equations here:
brainly.com/question/4344214
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