Tutor profile: Natalie H.
Alonzo made $221 for 17 hours of work. At the same rate, how many hours would he have to work to make $104 ?
Alonzo makes (X) dollars for every (Y) hour he works. His total paycheck is (Z). Multiply the how much he makes per hour (X) by how many hours he worked (Y) to find out his total paycheck (Z). XY = Z From the facts, we know both Y and Z. Y = 17 hours Z = $221 From there, we can plug those two factors into the equation to solve for X. X(17) = $221 X = 13 Therefore, Alonzo is making $13 per hour of work. To find out how many hours he works to make $104, plug is $13 for X and $104 for Z to solve for Y. (13)(Y) = $104 Y = 8 Therefore, Alonzo works 8 hours to make $104.
if xz=xy, x=6x-23, z=4x+9, what is the measure of y
From the equation xy = xz, x cancels out on both ends so you end up with y = z. Additionally, you can use the second equation, x = 6x - 23 and simplify it to 5x = 23, then x = 23/5. You can then plug in that value of x into the third equation: z = 4(23/5) +9, then z = 92/5 + 9, then z = 137/5 Since z = y, this applies to y as well Therefore, y = z and y = 137/5 Add comment
Kendra has $6.60 in dimes and quarters. If she has 4 times as many quarters as dimes, how many of each coin does she have?
The main equation you are given is that you have 4 times as many quarters as dimes. Therefore, the number of quarters you have (Q) is equal to the number of dimes you have (D) times 4. Q = 4D The value of each Q is 0.25 and the value of each D is 0.10. You can input that information into another equation to see how many of each coin will value up to 6.60. 0.25Q + 0.10D = 6.60 Plug in your first equation (Q= 4D) into your second equation (0.25Q + 0.10D = 6.60) to solve for D. 0.25(4D) + 0.10D = 6.60 D + 0.10D = 6.60 1.10D = 6.60 D = 6 Then plug your value for D back into you first equation to solve for Q. Q = 4(6) Q = 24 Calculate to double check you answer. 6 dimes = 0.60 24 quarters = 6.00 0.60 + 6.00 = 6.60 Therefore, you have 6 dimes and 24 quarters.
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