Respuesta :
Answer:
Daniel spent [tex]\frac{1}{3}[/tex]times 38 more than Tracy.
Step-by-step explanation:
Given that Tracy spent $38 less than 3 times what Daniel spent.
we have to find out the equation for how much Daniel spent
Let Daniel spent $x
Given that Tracy spent $38 less than 3 times what Daniel spent.
∴ Tracy spent= $(3x-38)
Solve for x is
3x=Tracy spent + 38
⇒ [tex]x=\frac{Tracy spent+38}{3}
Hence, Daniel spent [tex]\frac{1}{3}[/tex]times 38 more than Tracy.
You can use variables in this case and the information given already to form equation and to get the value of unknown quantities.
The equation for getting amount spent by Daniel is given as
[tex]x = \dfrac{y + 38}{3}[/tex]
(where x represents amount spent by Daniel (in dollars) and y represents amount spent by Tracy (in dollars) )
How to form mathematical expression from the given description?
You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
Since Tracy spent something related to what Daniel spent, so let we assume that Daniel spent [tex]\$x[/tex] amount.
Then, by the given description, Tracy spent [tex]3 \times x - 38[/tex] (in dollars) (we don't write symbols like $ when equation is written since it can be known from the context that what the quantity is representing).
Let this quantity spent by Tracy be denoted as [tex]\$y[/tex]
Then, we have:
[tex]y = 3x - 38\\\\\text{Adding 38 on both the sides}\\\\y + 38 = 3x\\\\\text{Dividing both the sides by 3}\\\\\dfrac{y+38}{3} = \dfrac{3x}{3} \\\\x = \dfrac{y + 38}{3}[/tex]
Thus,
The equation for getting amount spent by Daniel is given as
[tex]x = \dfrac{y + 38}{3}[/tex]
(where x represents amount spent by Daniel (in dollars) and y represents amount spent by Tracy (in dollars) )
Learn more about forming equations here:
https://brainly.com/question/12279939
