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scZoUnD [109]
2 years ago
11

A motorbike uses petrol and oil mixed in the ratio 13:2

Mathematics
1 answer:
torisob [31]2 years ago
3 0

Answer:

Part A) 26\ liters of petrol and 4\ liters of oil

part B) 3.25\ liters or 3,250\ ml of petrol

Step-by-step explanation:

Part A) How much of each is there in 30 liters of mixture ?

Let

x-----> the amount of liters of petrol

y----> the amount of liters of oil

we know that

\frac{x}{y}=\frac{13}{2}

x=\frac{13}{2}y -----> equation A

x+y=30 ---> equation B

substitute equation A in equation B

\frac{13}{2}y+y=30

\frac{15}{2}y=30

y=30*2/15=4\ liters

Find the value of x

x=\frac{13}{2}(4)=26\ liters

Part B) How much petrol would be mixed with 500 ml of oil?

Convert ml to l

500\ ml=0.50\ l

we know that

using proportion

\frac{13}{2}=\frac{x}{0.5}\\ \\x=13*0.5/2\\ \\x=3.25\ l

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