Answered

Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

For a school fund raising project, Aiden and Jacob collected money in the ratio of 3.5 : 6.8. Jacob collected $115.50 more than Aiden. Find the total amount of money they collected.

Sagot :

naǫ
x - the amount of money collected by Aiden
y - the amount of money collected by Jacob

Aiden and Jacob collected money in the ratio of 3.5 : 6.8.
[tex]\frac{x}{y}=\frac{3.5}{6.8} \\ 6.8x=3.5y \\ x=\frac{3.5}{6.8}y \\ x=\frac{35}{68}y[/tex]

Jacob collected $115.50 more than Aiden.
[tex]x+115.5=y \\ x=y-115.5 \\ \\ x=x \\ \frac{35}{68}y=y-115.5 \\ \frac{35}{68}y-y=-115.5 \\ \frac{35}{68}y-\frac{68}{68}y=-115.5 \\ -\frac{33}{68}y=-115.5 \\ y=-115.5 \times (-\frac{68}{33}) \\ y=238 \\ \\ x=y-115.5=238-115.5=122.5 \\ \\ x+y=238+122.5=360.5[/tex]

The total amount of money they collected is $360.50.
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.