Chris Nazarro had total travel expenses of $872. His transportation cost was $136. The hotel cost was $210 and business materials cost $500. If his lunch cost 30% of his dinner, how much was dinner to the nearest cent?

Can someone help me with this?

Question

Chris Nazarro had total travel expenses of $872. His transportation cost was $136. The hotel cost was $210 and business materials cost $500. If his lunch cost 30% of his dinner, how much was dinner to the nearest cent?

Can someone help me with this?

baru · Answer

how much does chris have left after spending on transport,hotel and business materials?

anonymous · Answer

26

baru · Answer

so,26 was lunch+dinner

baru · Answer

if dinner is 'x'
how much is lunch?

anonymous · Answer

I don't know this is where I got confused haha. Is it .3 ?

baru · Answer

lunch is 30% of dinner
lunch is (30/100 )* x
lunch=0.3x

anonymous · Answer

so does that mean it is 26 / .3

baru · Answer

we know that 
lunch + dinner =26
so
0.3x+x=26

baru · Answer

do you know how to solve that?

anonymous · Answer

No, not really. :/ Would it be .4x? I don't know

baru · Answer

no.
can you solve if I write it like this?
$$\frac{3x}{10} +x=26$$

baru · Answer

hint: take LCM or common denominator

anonymous · Answer

1.3x/26 ?

baru · Answer

you understand that we are trying to find a number for 'x' right

anonymous · Answer

Yeah, I don't know how to though

baru · Answer

do you know how to add fractions?

anonymous · Answer

does x = 20

baru · Answer

yes it does :)

baru · Answer

so ur okay with how to find 'x' ?

anonymous · Answer

Yesssss :)  So did I answer my own question or is there more for me to do?

anonymous · Answer

If lunch + dinner was 26 and x = 20 would the answer be 6 ?

baru · Answer

the question only asks for price of dinner, x was dinner.
if the question asked you to find 'lunch' then that would be 6 like you just showed :)

anonymous · Answer

Thank you for helping me!! :)

baru · Answer

no prob :)