QuestionJo and Mo share \$26, with Jo getting \$5 more than Mo. What is the ratio of Jo's money to Mo's money in simplest form?

Studdy Solution

STEP 1

Assumptions1. Jo and Mo share a total of $26. Jo receives$ 5 more than Mo3. We need to find the ratio of Jo's money to Mo's money in its simplest form

STEP 2

Let's denote the amount of money Mo receives as $x$ . Therefore, Jo receives $x +$ 5.

STEP 3

Since the total amount of money shared is $26, we can write the equation as follows$ $x + (x +5) =26$ $

STEP 4

implify the equation by combining like terms.
$2x + =26$

STEP 5

Subtract5 from both sides of the equation to isolate the term with $x$ .
$2x =26 -5$

STEP 6

Calculate the right side of the equation.
$2x =21$

STEP 7

Divide both sides of the equation by2 to solve for $x$ .
$x = \frac{21}{2}$

STEP 8

Calculate the value of $x$ .
$x =10.5$ So, Mo receives $10.5.

STEP 9

Now, let's find out how much Jo receives. We know that Jo receives $5 more than Mo.
$Jo's\, money = Mo's\, money +5$

STEP 10

Substitute the value of Mo's money into the equation.
$Jo's\, money =10.5 +5$

STEP 11

Calculate the amount of money Jo receives.
$Jo's\, money =15.5$ So, Jo receives $15.5.

STEP 12

Now, let's find the ratio of Jo's money to Mo's money. The ratio is given by the formula $Ratio = \frac{Jo's\, money}{Mo's\, money}$

STEP 13

Substitute the values of Jo's money and Mo's money into the equation.
$Ratio = \frac{15.5}{10.5}$

STEP 14

Perform the division to find the ratio.
$Ratio =.47619$

STEP 15

To simplify the ratio, we can round the decimal to the nearest whole number. The simplest form of the ratio is32.
Jo's money Mo's money =32

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