Alexandra has 36 coins valued at $6.00. She has only nickels and quarters. Which equation can be used to solve for the number of
2 answers:
Keywords:
<em>Coins, nickels, quarters, equation, variables </em>
For this case, we have 36 coins that represent 6 dollars. In addition, said coins are nickels and quarters. We must find an equation that can be used to find the number of nickels Alexandra has, of the 36 coins. For this, we must define two variables:
- n: Represents the number of nickels Alexandra has
- q: Represents the number of quarters Alexandra has
We know that:
Thus, we have the following system of equations:
We clear "q" from the equation (2):
We substitute "q" in equation (1):
Thus, the equation that can be used to find the number of nickels Alexandra has is:
Answer:
The equation that can be used to find the number of nickels Alexandra has is:
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Answer:
Number of t-shirts Trevor have are 16
If Trevor have 16 t-shirts, than Marissa will have 10 t-shirts.
Step-by-step explanation:
Let, the number of t-shirts Trevor has = x and number of t-shirts Marissa has = y.
Since, they both have total of 26 t-shirts. We get,
Moreover, Marissa has 6 t-shirts less than that of Trevor.
So, we have,
On solving the system of equations, we get,
implies
implies
i.e. 2x= 32 i.e. x= 16.
So, implies
i.e y= 10.
Hence, the number of t-shirts Trevor and Marissa have are 16 and 10 respectively.
That is, If Trevor have 16 t-shirts, than Marissa will have 10 t-shirts.