Respuesta :
Let the frogs be Y and the lollipops by X.
You have 2 frogs ( 2Y ) + 1 loliipop (X) = 0.78
And you have 3 frogs (3Y) + 2 lollipops (2X) = 1.32
The two equations are:
2Y + X = 0.78
3Y + 2X = 1.32
Multiply the first equation by -2:
-4Y - 2X = -1.56
Add that to the second equation:
-Y = -0.24
Multiply both sides by -1:
Y = 0.24
Now in the first equation replace Y with 0.24 and solve for X:
2(0.24) + X = 0.78
0.48 + x = 0.78
Subtract 0.48 from both sides:
X = 0.30
One Frog cost 0.24
One lollipop cost 0.30
Answer:
x = $0.24 or 24 cent (chocolate frog cost $0.24 or 24 cent)
y = $0.3 or 30 cents (Lollipop cost $0.3 or 30 cents)
Step-by-step explanation:
Let called chocolate frog is x and lollipop is y, we got:
2x + y = $0.78 (or 78 cent)
3x + 2y = $1.32
Now, we have to multiply the first equation by 2 then use it subtract for the second equation, we got:
4x + 2y = $1.56
-
3x + 2y = $1.32
4x - 3x + 2y - 2y = 1.56 - 1.32
x = $0.24 or 24 cent
Because x = 24 cent, or $0.24 sub it into 2x +y = $0.78, we got:
0.24*2 + y = $0.78
0.48 + y = $0.78
Subtract 0.48 from both sides, we got:
y = $0.3 or 30 cents
Hope this helped :3
Ps: My 'x' is your 'y' and my 'y' is your 'x' Sorry about that :(