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Jonathan has a collection of 400 marbles. Blue marbles make up 17% of his collection. How many blue marbles does Jonathan have?

Jonathan has a collection of 400400 marbles. Blue marbles make up 17% 17 \% of his collection. How many blue marbles does Jonathan have?

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Full solution

Q. Jonathan has a collection of 400400 marbles. Blue marbles make up 17% 17 \% of his collection. How many blue marbles does Jonathan have?
  1. Convert to decimal: Convert 17%17\% to a decimal.\newline17%=17100=0.1717\% = \frac{17}{100} = 0.17
  2. Calculate number of blue marbles: Calculate the number of blue marbles.\newlineJonathan has a total of 400400 marbles, and blue marbles make up 17%17\% of his collection. To find the number of blue marbles, multiply the total number of marbles by the decimal equivalent of the percentage.\newlineNumber of blue marbles = 0.17×4000.17 \times 400
  3. Perform multiplication: Perform the multiplication to find the number of blue marbles.\newlineNumber of blue marbles = 0.17×400=680.17 \times 400 = 68

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