BTGmoderatorLU wrote:Source: Magoosh
On each lab that René completed he received either 100 points or 85 points. On how many labs did he score 100 points?
1) René's scores for his completed labs totaled 1140 points.
2) René completed a total of twelve labs.
Let x = the number of 100-point labs and y = the number of 85-point labs.
Question stem, rephrased:
What is the value of x?
Statement 1:
100x + 85y = 1140
20x + 17y =
228
The value in blue implies the following:
Since 20x will have a units digit of 0, 17y must have a UNITS DIGIT OF 8.
Thus, y=4, with the result that 17y = 17*4 = 68.
Substituting 17y=68 into 20x+17y=228, we get:
20x + 68 = 228
20x = 160
x = 8.
SUFFICIENT.
Statement 2:
Here, x can be any value between 0 and 12, inclusive.
INSUFFICIENT.
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