Answer:
Equation: [tex]y= 3x-38[/tex]
Daniel spent: [tex]x= \frac{1}{3} y+12.6[/tex]
Step-by-step explanation:
Here is the complete question: While shopping for clothes, Tracy spent $38 less than 3 times what Daniel spent. Write and solve an equation to find How much did Daniel spend ?
Lets assume amount spent by Daniel is "x".
and assume amount spent by Tracy is "y".
As given, Tracy spent $38 less than 3 times what Daniel spent.
∴ [tex]y= 3\times x-\$ 38[/tex]
[tex]y= 3x-38[/tex]
Hence, [tex]y= 3x-38[/tex] is the equation to show amount that Tracy spent.
To find the amount that Daniel spent, we need to solve the equation.
[tex]y= 3x-38[/tex]
Adding both side by 38.
⇒ [tex]y+38= 3x[/tex]
Cross multiplying both side.
⇒[tex]x= \frac{1}{3} y+\frac{38}{3}[/tex]
∴[tex]x= \frac{1}{3} y+12.6[/tex]
