Multiple choice

Number of Buttons Percent of Red Buttons in Each Bag (to the nearest tenth) Bag A 44 15.9% Bag B x 16.7% Bag C 24 50.0% The table shows three bags of buttons. For each bag, the table lists the number of buttons in the bag and the percent (to the nearest tenth) of the buttons that are red. If one quarter of the total number of buttons in all three bags are red, how many buttons are in Bag B?

  1. 6

  2. 12

  3. 18

  4. 24

  5. 36
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total buttons = 44 + x + 24 = 68 + x. Total red buttons = (0.159 * 44) + (0.167 * x) + (0.5 * 24) = 6.996 + 0.167x + 12 = 18.996 + 0.167x. Setting this equal to 0.25(68 + x) gives 18.996 + 0.167x = 17 + 0.25x. Solving for x yields 0.083x = 1.996, so x is approximately 24.

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