SOLUTION: Hi
Jenny distributed some pebbles to her friends . If she gave 6 pebbles to each friend she would be 2 pebbles short . If she 5 pebbles to each friend she would have 5 pebbles lef
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Jenny distributed some pebbles to her friends . If she gave 6 pebbles to each friend she would be 2 pebbles short . If she 5 pebbles to each friend she would have 5 pebbles lef
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Question 1207244: Hi
Jenny distributed some pebbles to her friends . If she gave 6 pebbles to each friend she would be 2 pebbles short . If she 5 pebbles to each friend she would have 5 pebbles left. How many pebbles did she have in total.
Thanks Found 2 solutions by ikleyn, Theo:Answer by ikleyn(52775) (Show Source):
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Jenny distributed some pebbles to her friends.
If she gave 6 pebbles to each friend she would be 2 pebbles short.
If she 5 pebbles to each friend she would have 5 pebbles left.
How many pebbles did she have in total.
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Let P be the number of pebbles and let F be the number of friends.
Consider first statement "If she gave 6 pebbles to each friend she would be 2 pebbles short".
It literally means that
P = 6F - 2. (1)
Consider second statement "If she gave 5 pebbles to each friend she would be 5 pebbles left".
It literally means that
P = 5F + 5. (2)
Based on (1) and (2), we can write
6F - 2 = 5F + 5.
It implies
6F - 5F = 5 + 2
F = 7.
So, there are 7 friends to distribute pebbles.
From formula (1), the number of pebbles is P = 6*7 - 2 = 42 - 2 = 40.
From formula (2), we get the same number of pebbles P = 5*7 + 5 = 35 + 5 = 40.
ANSWER. Jenny had 40 pebbles, in total.