Rohan keeps a total of 90 guppies in 4 fish tanks.
There is 1 more guppy in the 2nd tank than in the 1st tank. There are 2 more guppies in the 3rd tank than in the 2nd tank. There are 3 more guppies in the 4th tank than in the 3rd tank. How many guppies are in the 4th tank?
Pick one
Solution
Let x denote the number of guppies in the first tank. Then, we have the following for the number of guppies in the rest of the tanks:
x+1= the number of guppies in the second tank x+1+2= the number of guppies in the third tank x+1+2+3= the number of guppies in the fourth tank The number of guppies in all of the tanks combined is 90, so we can write the equation x+x+1+x+1+2+x+1+2+3=90. Simplifying the equation gives 4x+10=90. Solving the resulting equation gives x=20, so the number of guppies in the fourth tank is 20+1+2+3=26. Therefore, the correct answer is (E)26. - C. Ren ~andliu766 (Minor edits)
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