Question

Maddy and Ada pool their money from a fundraiser. Maddy raised 7 dollars less than twice what Ada raised. Maddy made $45 more than Ada. How much money did Ada raise?

A) $26
B) $31
C) $38
D) $42

Answer 1

After setting up the equation 2x - 7 = x + 45, it is clear that Ada raised $7, not matching any of the provided answer options.

Step-by-step explanation:

The question we are trying to answer is: How much money did Ada raise, if Maddy raised 7 dollars less than twice what Ada raised and also made $45 more than Ada.

To solve this, let's assign a variable to the amount Ada raised. Let's say Ada raised x dollars. According to the problem, Maddy raised 2x - 7 dollars which is 7 dollars less than twice the amount Ada raised.

We are also told that Maddy made $45 more than Ada, so we can set up the following equation:

2x - 7 = x + 45

To solve for x, we will first subtract x from both sides of the equation, which gives us:

x - 7 = 45

Next, add 7 to both sides to isolate x:

x = 45 + 7

x = 52

But since Maddy raised $45 more than Ada and the amount Ada raised is x, it means we have counted Maddy's additional $45 in Ada's total by mistake. We must subtract $45 from our total.

x - 45 = 52 - 45

x = 7

Ada actually raised $7. It appears there may be a discrepancy with the answer options provided as none matches this correct calculation.