Question

Bruce wayne splits his budget by using the ratio 13:7. For every $13 he spends on reaearch he donates $7 to local charities. If he spent $4,800 more on research last week then in donations how much did he donate? (Appreciate your help. Thank you)

Answer 1

Answer:

The money that Bruce Wayne donates to local charities last week was $5,600

Step-by-step explanation:

Let

x ----> the money that Bruce Wayne spend on research last week

y ----> the money that Bruce Wayne donates to local charities ls week

we know that

$\frac{x}{y}=\frac{13}{7}$

$x=\frac{13}{7}y$ -----> equation A

$x=y+4,800$ ----> equation B

equate equation A and equation B and solve for y

$\frac{13}{7}y=y+4,800$

$\frac{13}{7}y-y=4,800$

$\frac{6}{7}y=4,800$

$y=4,800(7)/6\\y=\ 5,600$

therefore

The money that Bruce Wayne donates to local charities last week was $5,600