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marshall27 [118]
2 years ago
5

A boat can travel 477 miles on 53 gallons of gasoline.How much gasoline will it need to go 45 miles

Mathematics
1 answer:
Rama09 [41]2 years ago
4 0

Answer

140.29 miles

Step-by-step explanation:

477miles/ 153 gallons = <em>x</em> miles/45 gallons

criss-cross multiplication and solve for x

477 x <em> 45 = 153 x</em>

x = (45x477) / 153 =  140.29 miles

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Answer:

432 people on Friday and 658 on Saturday

Step-by-step explanation:

Lets use variables for each day

x=Friday and y=Saturday

now write two equations since you were given two different information (money and people)

$6 on Friday and $8 on Saturday with a total amount of $7856

the equation will be 6x+8y=7856

now the second equation will be for people

x amount of people on Friday and y amount of people on saturday for a total of 1090; the equation will be

x+y=1090

put them together

6x+8y=7856

x+y=1090

now you can cancel a variable but manipulating one of the equations. We'll use x, to cancel x you need make it zero so multiply the bottom by -6

6x+8y=7856

-6(x+y=1090)

6x+8y=7856                   now subtract downwards, with the x cancelling

-6x-6y=-6540

2y=1316                          simplify

(2y/2)=(1316/2)              

y=658

                                       insert y into x+y=1090

x+(658)=1090

    -658   -658

x=432

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