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Tracy saved her babysitting earnings for a month to buy some souvenirs while on vacation. She promised her three best friends a gift from her trip. At the airport, Tracy spent one-third of her babysitting money to buy a beautiful t-shirt for Georgianna. On her second day, she used her babysitting funds to buy a hat for Chepina for $12. On the last day, Tracy wanted to buy a $20 bracelet for her grandma. It cost $4 more than she had remaining of her babysitting funds, so she had to borrow the $4 from her parents. How much babysitting money did Tracy bring to buy souvenirs while on vacation? What equation?

Sagot :

MrRoyal

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

sqdancefan

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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