In the first hour of a bake sale, students sold either chocolate chip cookies, which sold for $1.30, or brownies, which sold for $1.50. What was the ratio of chocolate chip cookies sold to brownies sold during the first hour of the bake sale?
(1) The average price for the items sold during that hour was $1.42 --> \frac{1.30c+1.50b}{c+b}=1.42 --> 8b=12c --> \frac{c}{b} = \frac{2}{3}. Sufficient.
(2) The total price for all the goods sold was $14.20. This statement is a bit trickier: 1.30c+1.50b=14.20 --> 13c+15b=142. Since c and b must be integers, then we should check whether this equation has one or more than one positive integer solutions: 15b=142-13c --> 142 minus multiple of 13 must be a multiple of 15: only c=4 and b=6 satisfies the equation, thus \frac{c}{b} = \frac{4}{6}. Sufficient.
Answer: D.
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Hope it helps.
(1) The average price for the items sold during that hour was $1.42 --> \frac{1.30c+1.50b}{c+b}=1.42 --> 8b=12c --> \frac{c}{b} = \frac{2}{3}. Sufficient.
(2) The total price for all the goods sold was $14.20. This statement is a bit trickier: 1.30c+1.50b=14.20 --> 13c+15b=142. Since c and b must be integers, then we should check whether this equation has one or more than one positive integer solutions: 15b=142-13c --> 142 minus multiple of 13 must be a multiple of 15: only c=4 and b=6 satisfies the equation, thus \frac{c}{b} = \frac{4}{6}. Sufficient.
Answer: D.
For more on this type of questions check:
eunice-sold-several-cakes-if-each-cake-sold-for-either-109602.html
martha-bought-several-pencils-if-each-pencil-was-either-a-100204.html
a-rental-car-agency-purchases-fleet-vehicles-in-two-sizes-a-105682.html
joe-bought-only-twenty-cent-stamps-and-thirty-cent-stamps-106212.html
a-certain-fruit-stand-sold-apples-for-0-70-each-and-bananas-101966.html
joanna-bought-only-0-15-stamps-and-0-29-stamps-how-many-101743.html
at-an-amusement-park-tom-bought-a-number-of-red-tokens-and-126814.html
collections-confused-need-a-help-81062.html
Hope it helps.