Jaquie and Jordan are competing in a fundraiser for a local music Progam. If Jaquie earns $3 to Jordan $1 raised, how much would Jaquie raise if their total was $48? Show Your Work
A $12
B 36$
C $48
D $144
Let J be the amount of money Jaquie raises.
Then Jordan raises J/3 dollars.
The total amount raised is J + J/3 = $48.
Multiplying through the equation by 3, we get 3J + J = $144.
Combining like terms, we get 4J = $144.
Dividing both sides by 4, we get J = $36.
Thus, Jaquie raises $36. Answer: B.
Dont put The J
Apologies for the confusion. Let's solve the problem without using the variable J.
If Jaquie raises $3 for every $1 raised by Jordan, this means that for every $4 raised in total, $3 is raised by Jaquie and $1 is raised by Jordan.
Given that the total amount raised is $48, we can divide this total by 4 to find out how many groups of $4 were raised.
$48 ÷ 4 = 12
Therefore, since Jaquie raises $3 for each group of $4 raised, Jaquie would raise $3 multiplied by the number of groups ($12) raised:
$3 × 12 = $36
So, Jaquie would raise $36.
The answer is B.
To solve this problem, you need to set up an equation based on the given information.
Let's assume Jaquie raises x dollars. Since Jaquie earns $3 for every $1 Jordan raises, we can write the equation as follows:
Jaquie's earnings = 3 * Jordan's earnings
x = 3 * (48 - x)
Simplifying the equation, we get:
x = 3 * 48 - 3 * x
x = 144 - 3x
4x = 144
x = 144 / 4
x = 36
Therefore, Jaquie would raise $36.
The correct answer is B) $36.