Question

Two people, James and Josephine, ordered the same meal. James ate 5⁄8 of his meal, while Josephine ate 5⁄7 of her meal. Which statement correctly compares how much of their meal each person ate? A. They ate the same amount of their meal. B. Josephine ate 5⁄56 more of her meal than James ate. C. Josephine ate 5⁄56 less of her meal than James ate. D. James ate 1⁄7 more of his meal than Josephine ate.

Answer 1

I think that the answer would be B, because the value of the fraction would be a greater amount eaten.

Answer 2

Answer: Option 'B' is correct.

Explanation:

Since we have given that

Part of meal ate by James =
`(5)/(8)`

Part of meal ate by Josephine =
`(5)/(7)`

We want to compare both the meals.

For which we need to make the denominator same by taking L.C.M.

L.C.M. of 8 and 7 = 56

So, Part of meal eaten by James becomes

`(5* 7)/(8* 7)=(35)/(56)`

Similarly,

Part of meal eaten by Josephine becomes

`(5* 8)/(7* 8)=(40)/(56)`

So, Josephine eats greater part of meal than Jame eats.

Difference between their parts would be

`(40)/(56)-(35)/(56)\\\\=(5)/(56)`

Hence, Josephine ate
`(5)/(56)` more of her meal than James ate.

Thus, option 'b' is correct.