Respuesta :
The problem indicates that Samantha has 6 times as many fish as Lily.
If we call the number of fishes that Lily has "x", then the number of fishes that Samantha has will be "6x".
Lily: x
Samantha: 6x
Now, since together they have 70 fishes, we need to add the two quantities (x and 6x) and equal them to 70:
[tex]x+6x=70[/tex]To solve this problem we need to solve this equation for x.
The first step is to add the like terms on the left of the equation:
[tex]7x=70[/tex]And then, divide both sides of the equation by 7:
[tex]\begin{gathered} \frac{7x}{7}=\frac{70}{7} \\ \end{gathered}[/tex]As you can see 7 in the numerator and denominator on the left side cancel each other:
[tex]x=\frac{70}{7}[/tex]And on the right side, 70/7 is equal to 10:
[tex]x=10[/tex]Let's remember our initial definitions:
Lily: x
Samantha: 6x
Since we now know that x=10, we conclude that Lily has 10 fishes.
To calculate the amount that Samantha has multiply 6 by 10:
[tex]6x=6(10)=60[/tex]Samantha has 60 fishes.
Answer:
Lily: 10
Samantha: 60
