Victoria weighs 5/7 as much as Mario. Victoria weighs 125 lb. Write and solve an equation to determine how much Mario weighs.
2007-09-19 09:21:16 · 10 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Let Mario weigh X lbs
Victoria weighs 5 X / 7 lbs
5 X / 7 = 125
5 X = 875
X = 875 / 5
X = 175
Mario weighs 175 lbs
2007-09-19 22:19:56 · answer #1 · answered by Como 7 · 2⤊ 0⤋
"(5/7)a = b" or "(5 divided by 7) multiplied by a = b" is an equation that represents this problem.
The variables for the equation would be as follows:
a = mario's weight
b = victoria's weight
Since Victoria or "b" = 125lbs the equation becomes
(5/7) a = 125
To solve for a, divide both sides of the equation by 5/7. Each operation you perform on one side of the equal sign must be performed on the other side like this:
(5/7) a / (5/7) = 125 / (5/7)
By diving the left side by (5/7) the (5/7)'s cancel out (this is because a number divided by itself is 1). Therefore it would become:
a = 125 / (5/7)
Since 5/7 = 0.712485 the equation becomes:
a = 125 (0.712485)
Since 125 x 0.712485 = 175 you get:
a = 175 lbs
Therefore since a represents Mario, Mario weighs 175lbs.
To test this multiply Mario's weight by 5/7 and you should get 125 lbs (Victoria's weight).
2007-09-19 09:41:51 · answer #2 · answered by ctleng76 5 · 0⤊ 1⤋
With any algebra you feel awkward with, start by writing down the information you've been given and some representation so you don't have to write down Victoria and Mario about five times or so. Also, it is best to do it in steps so that mistakes have less chances of creeping in.
Let V represent Victoria's weight
V=125
Let M represent Mario's weitht.
M=?
We know that Victoria is 5/7 as heavy as Mario, so in terms of V and M:
V = 5/7*M
So we can safely say that V is 5/7th of M, which is what the question said at the beginning.
Since we know that V=125, we can substitute 125 into V.
125=5/7*M
To solve for M, simply make M the subject of the equation.
125(7)=5M
M= 125(7)/5
M=175
The question said that Victoria weighs 125lb, so Mario's weight, 175, must also have a unit, since lb is used to calculate Mario's weight, therefore, Marios weight must have the unit of lb.
SO therefore, Mario weighs 175lb.
2007-09-19 09:33:32 · answer #3 · answered by ChristopheraX 4 · 0⤊ 0⤋
Let V & M denote the weights of each.
"Victoria weighs 5/7 as much as Mario."
V = 5/7M. (i)
"Victoria weighs 125 lb." translates to
V = 125lb (ii)
Substitute (ii) into (i) & solve for M.
125 = (5/7)M
(7/5)(125) = M [Multiply both sides of the equation by (7/5).]
7(25) = M
M = 175lb.
Ck. V = (5/7)(175) = 5(25) = 125.
2007-09-19 09:36:12 · answer #4 · answered by Anonymous · 0⤊ 0⤋
Let's solve this problem algebraically, that is with variables, or unknowns:
Let's say Victoria's weight is V and Mario's weight is M.
V = 125
V = 5/7M, or
V = 5M / 7
Now substitute the known values:
125 = 5M / 7
Let's put the unknowns on the left side of the equation and the constants on the right:
5M / 7 = 125
To move the 7 constant to the right, multiply both sides by 7:
7 x (5M / 7) = 7 x 125
5M = 875
Now divide both sides by 5:
5M / 5 = 875 / 5
M = 175
Therefore, Mario weighs 175 lbs.
2007-09-19 09:43:24 · answer #5 · answered by Wile E. 7 · 0⤊ 2⤋
Suppose Mario weights x lb
Then Victoria weights 5x/7
So 5x/7=125
Then5*x=7*125
5*x=875
x=875/5
x=175 lb
Hope helps you and
your daughter
2007-09-19 09:30:18 · answer #6 · answered by katsaounisvagelis 5 · 0⤊ 0⤋
125= 5/7x --->
125 * 7= 5x
875=5x
175 = x ---> 175 lb is Mario's weight.
2007-09-19 09:26:36 · answer #7 · answered by hollunder 5 · 1⤊ 0⤋
I get V= 5/7M = 125
So M = 7 x 125 / 5 = 175lb
2007-09-19 09:32:20 · answer #8 · answered by trumass 1 · 0⤊ 0⤋
x = Mario's weight
125 = 5x/7
7*125/5 = x
175 = x = Mario's weight
2007-09-19 09:42:10 · answer #9 · answered by ironduke8159 7 · 2⤊ 0⤋
(5/7)x = 125
x = How much Mario weighs.
2007-09-19 09:28:11 · answer #10 · answered by purplefistmixer 2 · 0⤊ 0⤋