1)
Julia = Sj = 30,500 + 500n
Aysha = Sa = 26,000 + 1000n
when will
Sj = Sa
30,500 + 500n = 26,000 + 1000n
30,500 - 26,000 = 1000n - 500n
4,500 = 1000n - 500n
4,500 = 500n
n = 9
so they will have same salary after 9 years
2) X + Y = 8000
5%X + 3.25%Y = 312.5
X = 8000 - Y
0.05 ( 8000 - Y ) + 0.0325Y = 312.5
400 - 0.05Y + 0.0325Y = 312.5
400 - 0.0275Y = 312.5
400 - 312.5 = 0.0275Y
87.5 = 0.0275Y
Y = 3,181.81
X = 8000 - Y = 8000 - 3,181.81 = 4,818.19
3) X + Y = 3050
8%X + 7.5%Y = 234
X = 3050 - Y
0.08(3050 - Y) + 0.075Y = 234
244 - 0.08Y + 0.075Y = 234
244 - 234 = 0.025Y
Y = 400
X = 3050 - Y = 3050 - 400 = 2650
Answer: 2
There are 10 triangles, that represent the number 2. There are 8 circles, that represents the number 1. To make this 1:1, we must add 2 circles.
10:10 = 1:1
The answer to the question is 2 circles.
Hope this helps you!
Every number will have only 3 digits. In the ones place, there are 5 choices. For every choice of digit made in the ones place, there are 8 possible choices for the hundreds place (you can choose from 1-9, omitting whatever is used in the ones place), and there are 8 possible choices for the tens place (you can choose from 0-9, omitting whatever has already been used elsewhere).
So there are
such numbers.
Is all you need to solve the equation or is there more to it?