Question

Jack and Shelly have saved up a total of $29.00. Jack has saved 4 dollars more than 23 as much as Shelly. How much has Shelly saved?

Answer 1

Answer:15

Step-by-step explanation:

4+(2/3)+x=29

4+2/3x+3/3x=29

4+5/3x=29

5/3x=29-4=25

5/3x=25

(5/3x) divided by (5/3)=25 divided by (5/3)

x=15

Answer 2

The total savings of Shelly is $15 and the total savings of Jack is $14.and this can be determined by forming the linear equation in two variables.

Given :

• Jack and Shelly have saved up a total of $29.00.
• Jack has saved 4 dollars more than 2/3 as much as Shelly.

Let the total saving of Jack be 'x' and the total saving of Shelly be 'y'. The linear equation that represents the total savings of Jack and Shelly is given by:

x + y = 29

x = 29 - y      ---- (1)

The linear equation that represents that "Jack has saved 4 dollars more than 2/3 as much as Shelly" is given by:

$x = 4+\dfrac{2}{3}y$    --- (2)

Now, substitute the value of 'x' in the above equation (2).

$29-y=\dfrac{2}{3}y + 4$

Simplify the above equation in order to determine the value of 'y'.

$29-4=\dfrac{2}{3}y+y$

25 $\times$ 3 = 5y

y = $15

Now, substitute the value of y in the equation (1).

x = 29 - 15

x = $14

So, the total savings of Shelly is $15 and the total savings of Jack is $14.

For more information, refer to the link given below:

https://brainly.com/question/13911928