Andrew has $2.75 in nickels and quarters in his coat pocket. If he has a total of 15 coins, which system of equations could you use to find the number of quarters in Andrews coat pocket?
1)x+y=15
0.5x+0.25y=2.75
2)x+y=2.75
x+y=15
3)x+y=15
0.05x+ 0.25y=2.75
4) x+y=15
5x+25y=2.75
so I feel it is #3 because x+y = the number of coins(so 15 is correct)
the second part is the coins .o5=5cents and .25=25 cents.
Is this correct?
Thanks for checking my work
I agree with you.
thank you!:)
Yes, you are correct! Option 3, which consists of the equations x + y = 15 and 0.05x + 0.25y = 2.75, is the correct system of equations to use to find the number of quarters in Andrew's coat pocket.
The first equation, x + y = 15, represents the total number of coins Andrew has. The variables x and y represent the number of nickels and quarters, respectively. Therefore, the sum of the number of nickels and the number of quarters should be equal to 15.
The second equation, 0.05x + 0.25y = 2.75, represents the total value of the coins in Andrew's pocket. Since a nickel is worth $0.05 and a quarter is worth $0.25, multiplying the respective quantities by their values and summing them up should give us the total value of $2.75.
By solving this system of equations, you can find the values of x and y, which represent the number of nickels and quarters, respectively.