Question

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?

Answer 1

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:

$x - \frac 13x - 12 + 4 = 20$

Collect like terms

$x - \frac 13x = 12 - 4 + 20$

$x - \frac 13x = 28$

Multiply through by 3

$3x - x = 84$

Simplify

$2x = 84$

Divide through by 2

$x = 42$

Hence, the total babysitting earnings is $42

Read more about linear equations at:

brainly.com/question/14323743

Answer 2

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.