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Sagot :
The babysitting earnings is an illustration of a linear equation
The total babysitting earnings is $42
How to determine the babysitting earnings
Represent the earnings with x.
- One third of the earning would be 1/3x
- The hat costs $12
The remaining amount would be:
x - 1/3x - 12
The remaining amount is $4 less than $20.
So, we have:
[tex]x - \frac 13x - 12 + 4 = 20[/tex]
Collect like terms
[tex]x - \frac 13x = 12 - 4 + 20[/tex]
[tex]x - \frac 13x = 28[/tex]
Multiply through by 3
[tex]3x - x = 84[/tex]
Simplify
[tex]2x = 84[/tex]
Divide through by 2
[tex]x = 42[/tex]
Hence, the total babysitting earnings is $42
Read more about linear equations at:
https://brainly.com/question/14323743
Answer:
- $42
- b +4 = b/3 +12 +20
Step-by-step explanation:
We can let b represent the amount of babysitting earnings Tracy had to spend. Her spending for the first gift was (1/3)b. Since she augmented her earnings with $4 she borrowed, the total amount she spent on gifts was ...
b +4 = b/3 +12 +20 . . . . the equation for Tracy's purchases
2/3b = 28 . . . . . . . . . . subtract (4+b/3) from both sides
b = (3/2)(28) . . . . multiply by the inverse of the b coefficient
b = 42 . . . . the amount Tracy brought for souvenirs
Tracy brought $42 in babysitting money to buy souvenirs.
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