Question

Rachel, Kayla, and Francesca raised $35.67 for their basketball team. Rachel and Kayla each raised the same amount, and Francesca raised $10.50 more than each of them.

If x = the amount raised by Kayla, choose the expressions that represent the amount each other player raised.

Answer 1

Kayla and Rachel raised $8.39, Francesca raised $18.89.

Explanation:

Knowing that $35.67 is the total amount raised, that Rachel and Kayla raised the same amount (x) each, and that Francesca raised $10.50 more than them (x + 10.50), then the equation would look like:

35.67 = x + x + (x + 10.50)

or

35.67 = 3x + 10.50

From here, you can solve algebraically.

Isolate the variable by subtracting 10.50 from both sides

25.17 = 3x

Then, find X by dividing both sides by 3:

x = 8.39

Knowing that Kayla and Rachel raised $8.39 each, to find Francesca's contribution you can either:

A) Subtract Kayla and Rachel's contributions from the total amount:

35.67 - 8.39 - 8.39 = 18.89

or

B) Add $10.50 to the amount that Kayla and Rachel raised:

8.39 + 10.50 = 18.89