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Dean loves rocks. Altogether, they have 6 pieces of granite, 3 pieces of marble, and 14 pieces of sandstone.
What is the ratio of pieces of sandstone to total pieces of rock in Dean's collection?
Choose 1 answer:
(A) 
9:14
(B) 
14:9
(C) 
14:23
(D) 
23:14

Dean loves rocks. Altogether, they have 66 pieces of granite, 33 pieces of marble, and 1414 pieces of sandstone.\newlineWhat is the ratio of pieces of sandstone to total pieces of rock in Dean's collection?\newlineChoose 11 answer:\newline(A) 9:14 9: 14 \newline(B) 14:9 14: 9 \newline(C) 14:23 14: 23 \newline(D) 23:14 23: 14

Full solution

Q. Dean loves rocks. Altogether, they have 66 pieces of granite, 33 pieces of marble, and 1414 pieces of sandstone.\newlineWhat is the ratio of pieces of sandstone to total pieces of rock in Dean's collection?\newlineChoose 11 answer:\newline(A) 9:14 9: 14 \newline(B) 14:9 14: 9 \newline(C) 14:23 14: 23 \newline(D) 23:14 23: 14
  1. Finding Total Number of Rocks: First, let's find the total number of rocks in Dean's collection by adding the number of pieces of each type of rock.\newlineTotal rocks = Number of granite pieces + Number of marble pieces + Number of sandstone pieces\newlineTotal rocks = 66 (granite) + 33 (marble) + 1414 (sandstone)\newlineTotal rocks = 6+3+146 + 3 + 14\newlineTotal rocks = 2323
  2. Calculating Ratio of Sandstone to Total Rocks: Next, we need to find the ratio of pieces of sandstone to the total number of rocks. We already know there are 1414 pieces of sandstone and 2323 total rocks.\newlineRatio of sandstone to total rocks = Number of sandstone pieces : Total number of rocks\newlineRatio of sandstone to total rocks = 14:2314 : 23

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