DASHER spent half as much as prancer did on holiday presents this year and cupid spent 3 times more than DASHER . If the total spent between the three of them was $720, how much did they each spend on gifts

Answer:

d=120

p=210

c=360

Step-by-step explanation:

We want to find and solve a system of equations to see how much spent each one of the 3 friends.

We can conclude that Dasher spent $120, Prancer spent $240, and Cupid spent $360.

----------------------------

To make the system of equations, first we need to define the variables that we will use.

We know that:

"Dasher spent half as much as Prancer".

"Cupid spent 3 times more than Dasher"

"In total the spent $720"

Writing the 3 equations together, we get:

To solve the system we need to replace variables, we can see that C is isolated in the second equation, then we can replace it on the last one so we get:

D = P/2

3*D + D + P = $720

Now we can replace the first one in the second one to get:

3*(P/2) + P/2 + P = $720

3*P = $720

P = $720/3 = $240

Then we can use the first equation to find the value of D:

D = P/2 = $240/2 = $120

Finally, we can use the second equation find the value of C:

C = 3*D = 3*$120 = $360

Then we can conclude that Dasher spent $120, Prancer spent $240, and Cupid spent $360.

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