Question

Josie and her brother, Sean both have a job after school. For every $5.50 that Josie earns, her brother earns $6.50. On Tuesday, they earned $30.00. How much money did Josie earn? How much did her brother earn?

Answer 1

Answer:

The amount earned by Josie was $13.75 and the amount earned by her brother was $16.25

Step-by-step explanation:

Let

x ----> amount earned by Josie

y ---> amount earned by her brother

we know that

$\frac{x}{y}=\frac{5.50}{6.50}$

$x=\frac{5.50}{6.50}y$ ------> equation A

$x+y=30.00$ -----> equation B

Solve the system by substitution

Substitute equation A in equation B

$\frac{5.50}{6.50}y+y=30.00$

solve for y

$\frac{12.00}{6.50}y=30.00$

$y=6.50(30.00)/12.00\\y=\ 16.25$

Find the value of x

$x=\frac{5.50}{6.50}(16.25)\\\\x=\ 13.75$

therefore

The amount earned by Josie was $13.75 and the amount earned by her brother was $16.25

Answer 2

Answer:

Step-by-step explanation:

Given that For every $5.50 that Josie earns, her brother earns $6.50.

Tuesday, they earned $30.00

Using the ratio and the proportional

Josie : Sean : Total

 5.5  :   6.5   :  12

  x    :     y     :  30

So, x = 5.5 * 30/12 = 13.75

And y = 6.5 *30/12 = 16.25

So, Josie will earn $13.75  and her brother Sean will earn $16.25

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