In sunlight, a vertical stick has a height of 4 ft and casts a shadow 2 ft long at the same time that a nearby tree casts a shad
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<em>Note: you may have unintentionally missed to add the complete question. Therefore, after a little research, I am able to find the complete question which I am attaching to solve your query, which anyways would clear your concept. </em>
The complete Question:
Keenan gives Tisha half of his strawberries. Tisha keeps 4 of the strawberries she got from Keenan and gives the rest to Suvi.
a) Write an expression for the number of strawberries Tisha gives to Suvi. Use k for the number of strawberries Keenan started with.
b) Could Keenan have started with 6 strawberries? Use your expression to explain why or why not.
Answer:
Part a)
An expression for the number of strawberries Tisha gives to Suvi will be:<em> </em>
Part b)
Keenan could not have started with 6 strawberries
Step-by-step explanation:
Part a) <em>Write an expression for the number of strawberries Tisha gives to Suvi. Use k for the number of strawberries Keenan started with.</em>
Let be the total number of strawberries which Keenan has.
So,
is the number of strawberries Keenan gave to Tisha.
As Tisha keeps 4 strawberries and gives the rest to Suvi. Let be the number of strawberries which Suvi has.
So,
Therefore, an expression for the number of strawberries Tisha gives to Suvi will be:<em> </em>
b) Could Keenan have started with 6 strawberries? Use your expression to explain why or why not.
Considering the expression for the number of strawberries Tisha gives to Suvi
Putting in the expression
Solving the expression
∵
So, Keenan would have started with 6 strawberries, then Suvi would have -1 strawberries. Since, strawberries cannot be negative as Suvi cannot have negative number of strawberries.
Therefore, Keenan could not have started with 6 strawberries.
Keywords: word problem, expression
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