Question

Hema, Shefali, and Molly each drew two of these cards.
Shefali said, "The sum of my numbers is 3 /2
Hema said, "The sum of my numbers is 1".
Molly said, "The difference of my numbers is just less than one.
3/8. 1/4. 5/8. 5 /4. 11/16. 13/8
Which card did each one have?​

Answer 1

Answer:

Hema have 1/4 and5/4

Shefali have 3/8,5/8

molly have 11/16,13/8

Answer 2

Shefali has $\frac{1}{4} \text{ and } \frac{5}{4}$

Hema has $\frac{3}{8}\ and\ \frac{5}{8}$

Molly have $\frac{13}{8}\ and\ \frac{11}{16}$

Solution:

Given that,

Shefali said, "The sum of my numbers is 3 /2"

Therefore,

$\frac{1}{4} + \frac{5}{4} = \frac{6}{4} = \frac{3}{2}$

Thus, Shefali has $\frac{1}{4} \text{ and } \frac{5}{4}$

Hema said, "The sum of my numbers is 1"

Therefore,

$\frac{3}{8} + \frac{5}{8} = \frac{8}{8} = 1$

Thus, Hema has $\frac{3}{8}\ and\ \frac{5}{8}$

Molly said, "The difference of my numbers is just less than one

Therefore,

$\frac{13}{8} - \frac{11}{16}= \frac{26}{16} - \frac{11}{16} = \frac{15}{16} = 0.9375$

Thus, Molly have $\frac{13}{8}\ and\ \frac{11}{16}$

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