Bunuel wrote:
Eggs are sold in packages of six or eleven only. If Doris bought 70 eggs exactly, what could be the number of large packs Doris bought?
A. 6.
B. 2.
C. 3.
D. 5.
E. 4.
We can let x = the number of large packs and y = the number of small packs; thus:
11x + 6y = 70
6y = 70 - 11x
y = (70 - 11x)/6
We see that 6 must evenly divide (70 - 11x). Thus, of our answer choices, x could be 2.
Answer: B
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