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.

Step-by-step explanation:

Since we have given that

Part of meal ate by James = $\dfrac{5}{8}$

Part of meal ate by Josephine = $\dfrac{5}{7}$

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

$\dfrac{5\times 7}{8\times 7}=\dfrac{35}{56}$

Similarly,

Part of meal eaten by Josephine becomes

$\dfrac{5\times 8}{7\times 8}=\dfrac{40}{56}$

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

Difference between their parts would be

$\dfrac{40}{56}-\dfrac{35}{56}\\\\=\dfrac{5}{56}$

Hence, Josephine ate $\dfrac{5}{56}$ more of her meal than James ate.

Thus, option 'b' is correct.