Another way to word this ( if it helps)
The product of 15 and k is 45
So 15 times k equals 45
15k=45
This would be the equation- if we need to solve it
Divide both sides of the equation by 15 to isolate k
k=3
71.5%
To solve, the easiest method I've found is to set up 2 fractions and cross multiply. so, x/100 = 105.1/147
Let
s-------> the amount of money Layla deposits
we know that
![25\%= \frac{25}{100}=0.25](https://tex.z-dn.net/?f=25%5C%25%3D%20%5Cfrac%7B25%7D%7B100%7D%3D0.25)
![50\%= \frac{50}{100}=0.50](https://tex.z-dn.net/?f=50%5C%25%3D%20%5Cfrac%7B50%7D%7B100%7D%3D0.50)
![s\geq 0.25*\$200\\ s \geq\$50](https://tex.z-dn.net/?f=s%5Cgeq%200.25%2A%5C%24200%5C%5C%20s%20%5Cgeq%5C%2450)
![s\leq 0.50*\$200 \\ s\leq \$100](https://tex.z-dn.net/?f=s%5Cleq%200.50%2A%5C%24200%20%5C%5C%20s%5Cleq%20%5C%24100)
so
![\$50 \leq s \leq \$100](https://tex.z-dn.net/?f=%5C%2450%20%5Cleq%20s%20%5Cleq%20%5C%24100)
therefore
<u>the answer is</u>
![\$50 \leq s \leq \$100](https://tex.z-dn.net/?f=%5C%2450%20%5Cleq%20s%20%5Cleq%20%5C%24100)
She could deposit ![\$50](https://tex.z-dn.net/?f=%5C%2450)
She could deposit ![\$75](https://tex.z-dn.net/?f=%5C%2475)
I believe the answer you are looking for is 24%