Mike caught 22 fish this week, or 3 2/3rds times as many as last week. How many fish did mike catch last week?

Question

Mike caught 22 fish this week, or 3 2/3rds times as many as last week. How many fish did mike catch last week?

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Mia 2 weeks 2021-09-10T22:22:39+00:00 1 Answer 0

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    2021-09-10T22:24:28+00:00

    Answer:

    Last week Mike caught 6 fish

    Step-by-step explanation:

    The unknown is he number of fish Mike caught last week, so let’s use the letter “x” to represent that quantity.

    Next, write 3 and 2/3 as an improper fraction: 3+\frac{2}{3} =\frac{9}{3} +\frac{2}{3} =\frac{11}{3}

    Now use it in the equation we create from translating the words into a mathematical expression: “22 fish this week, or 3 2/3rds times as many as last week.” which translates into:

    “22 fish is 3 2/3 (or 11/3) of “x” (last’s week catch)”

    and in math terms:

    22=\frac{11}{3} \,* x

    and to find the unknown “x” we isolate it on one side of the equal sign by multiplying both sides of the equation by \frac{3}{11}:

    22=\frac{11}{3} \,* x\\22\,*\,\frac{3}{11} = \,\frac{3}{11}\,*\,\frac{11}{3} \,* x\\6=x

    So last week Mike caught 6 fish.

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