The value of x is [tex]7\frac{1}{2}[/tex]
What is an equation?
'An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.'
According to the given problems,
Let us assume,
Janet had 10 biscuits. She gave her daughter 2 biscuits and a monkey nearby snatched half of one biscuit and ran. She needs to know the number of biscuits left with her counting half of the biscuit left with her.
Let the number of biscuits left be x,
Number of biscuits Janet gave to her daughter = 2
Number of biscuits the monkey took = [tex]\frac{1}{2}[/tex] of a biscuit.
Total number of biscuits lost = 2 + [tex]\frac{1}{2}[/tex]
= [tex]2\frac{1}{2}[/tex]
Therefore,
Number of biscuits left with Janet,
⇒ x + [tex]2\frac{1}{2}[/tex] = 10
⇒ x + [tex]\frac{5}{2}[/tex] = 10
⇒ x = 10 - [tex]\frac{5}{2}[/tex]
⇒ x = [tex]\frac{15}{2}[/tex]
⇒ x = [tex]7\frac{1}{2}[/tex]
Hence, we can conclude, Janet has [tex]7\frac{1}{2}[/tex] biscuits left.
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