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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)

Respuesta :

calculista

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

[tex]\frac{x}{y}=\frac{13}{7}[/tex]

[tex]x=\frac{13}{7}y[/tex] -----> equation A

[tex]x=y+4,800[/tex] ----> equation B

equate equation A and equation B and solve for y

[tex]\frac{13}{7}y=y+4,800[/tex]

[tex]\frac{13}{7}y-y=4,800[/tex]

[tex]\frac{6}{7}y=4,800[/tex]

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

therefore

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

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