Question 149530
a road side stand bought 11 large baskets of eggs from a farmer and sold 39 small baskets of eggs, which hold fewer than a dozen. there were 19 eggs left over. how many eggs does a large basket hold?
;
Let y = no. of eggs in a large basket
Let x = no. of eggs in a small basket
:
The equation:
11y = 39x + 19
y = {{{((39x+19))/11}}}
We know that y has to be an integer and (39x+19) has to be a multiple of 11
Not many values of x less than 12, will fit the requirement
:
A few minutes with a calc and you come up with x = 6
y = {{{((39(6)+19))/11}}}
y = 23 eggs in a large basket (6 in a small basket)