Respuesta :
Answer:
Elaine spent $50, Danetta spent $75, and Jan spent $40
Step-by-step explanation:
Let x represent how much Elaine spent:
Danetta will be represented by x + 25
Jan will be represented by x - 10
Then, create an equation:
x + x + 25 + x - 10 = 165
Add like terms and solve for x:
3x + 15 = 165
3x = 150
x = 50
So, this means Elaine spent $50
Plug in 50 as x to find how much Danetta and Jan spent:
x + 25
50 + 25
= $75 (Danetta)
x - 10
50 - 10
= $40 (Jan)
So, Elaine spent $50, Danetta spent $75, and Jan spent $40
The money spent by Danetta is $75, the money spent by Elaine is $50, and the money spent by Jan is $40.
What is the linear system?
A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Let D be the money spent by Danetta, E be the money spent by Elaine, and J be the money spent by Jan.
Three friends went shopping. Danetta spent $25 more than Elaine spent. Then the equation will be
D = E + 25
E = D – 25
But Jan spent $35 less than Danetta spent. Then the equation will be
J = D – 35
If they spent $165 in all. Then the equation will be
D + E + J = 165
Put the value of E and J in the above equation.
D + D – 25 + D – 35 = 165
3D – 60 = 165
3D = 225
D = 225 / 3
D = 75
Then the value of E will be
E = D – 25
E = 75 – 25
E = 50
Then the value of J will be
J = D – 35
J = 75 – 35
J = 40
More about the linear system link is given below.
https://brainly.com/question/20379472
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