Answer:
4 brothers and 3 sisters
Step-by-step explanation:
Let x be the number of brothers and y be the number of sisters in the family.
1. Each brother has x-1 brothers and y sisters. If each brother has as many sisters as brothers, then

2. Each sister has y-1 sisters and x brothers. If each sister has twice as many brothers as she has sisters, then

3. Solve the system of two equations:

Then


We'll represent Louise's, Tammy's, Delores's, and Sheryl's point values with
,
,
, and
respectively since each one is 1 point more than the last.
Add all of these values up and set it all equal to
.

Now, simplify.

Subtract
on both sides.

Divide both sides by
.

Since Louise's score is
, the answer is
.
<h3>Double-checking</h3>
To verify our answer, add the point totals
,
,
, and
.
This equals
, so we can be sure the answer is correct.
Answer:
No Solution
Step-by-step explanation:
-3x+6=-3x-5
+5 +5
-3x+11=-3x
+3 +3
11=0
No Solution
Work backwards.
After she put half of what she had left in, she had 17.76.
Multiply by 2:
17.76 * 2 = 35.52
Add 25:
35.52 + 25 = 60.52
Add 14.48:
75
So she received $75 on her birthday.