Question

A medium sized apple has 70 calories. This is 10 calories less than 1/4 of the calories in an old chocolate bar. We need to find out how many calories are in the bar? What could be a model for the first step?

Answer 1

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Define x:
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Let x be the calories of the old chocolate bar.
Apple = 1/4 x - 10        ←First Step : Define apple with reference to the choc

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Information Given:
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Apple = 70 Calories 

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Find x:
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1/4 x - 10 = 70              
1/4 x = 80
x   = 320 calories

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Answer: The old chocolate bar is 320 calories.
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Answer 2

An equation is formed of two equal expressions. The number of calories in the old chocolate bar is 320.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the calories of an apple be denoted by A while the calories of the chocolate bar be denoted by C. Therefore, the statement 'A medium-sized apple has 10 calories less than 1/4 of the calories in an old chocolate bar' can be represented in the form of an equation as,

$A = \dfrac14C - 10$

Now, as it is given that a medium-sized apple has 70 calories, therefore, the calories in a chocolate bar will be equal to,

$A = \dfrac14C - 10\\\\70 = \dfrac14C - 10\\\\70+10 = \dfrac14C\\\\80= \dfrac14C \\\\\dfrac{80 \times 4}{1} = C\\\\C = 320$

Hence, the number of calories in the old chocolate bar is 320.

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