Tyler used 1 1/2 gallons of paint to paint 5/7 of a fence. How many gallons will it take to paint the whole fence? 1) Write a multiplication equation representing this question.

2) Write a division equation representing this question.

Explain your reasoning.

9514 1404 393

9514 1404 393

  1) (1 1/2)(7/5) = g

  2) (1 1/2)/(5/7) = g

Step-by-step explanation:

1) Tyler has painted 5/7 of the 7/7 of the fence. So the total amount of the fence is (7/7)/(5/7) = 7/5 as much as what was already painted.

The total amount of paint needed is then 7/5 the amount already used:

  g = (7/5)(1 1/2) . . . . . gallons of paint needed for the whole fence

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2) If g gallons are required for the whole fence, the amount used so far for 5/7 of the fence is 5/7 of the quantity required:

  (5/7)g = 1 1/2

  g = (1 1/2)/(5/7) . . . . division expression for the paint needed

answer: 1722

step-by-step explanation:

given: the mass of saturn=

the mass of mercury=

the number of times the mass of saturn is greater than the mass of mercury

hence, the mass of saturn is 1722 times greater than the mass of mercury.