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At a bakery, a display case had N racks. The first rack had 80 buns The second rackhad 15% fewer buns than the first rack Mrs Lee added more buns to the second rackand the number of buns on this rack increased by 25%. Some buns on the first rackwere sold and the number of buns on this rack decreased by 10% What wastheoverall percentage increase or decrease in the total number ot ouns displayed?Give the answer correct to the nearest whole number.14

Question

At a bakery, a display case had N racks. The first rack had 80 buns The second rackhad 15% fewer buns than the first rack Mrs Lee added more buns to the second rackand the number of buns on this rack increased by 25%. Some buns on the first rackwere sold and the number of buns on this rack decreased by 10% What wastheoverall percentage increase or decrease in the total number ot ouns displayed?Give the answer correct to the nearest whole number.14

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Solution

Sure, let's break down the problem step by step.

  1. The first rack had 80 buns.

  2. The second rack had 15% fewer buns than the first rack. To find out how many buns were on the second rack initially, we calculate 15% of 80 (which is 12) and subtract that from 80. So, the second rack initially had 80 - 12 = 68 buns.

  3. Mrs. Lee added more buns to the second rack and the number of buns on this rack increased by 25%. To find out how many buns are on the second rack now, we calculate 25% of 68 (which is 17) and add that to 68. So, the second rack now has 68 + 17 = 85 buns.

  4. Some buns on the first rack were sold and the number of buns on this rack decreased by 10%. To find out how many buns are on the first rack now, we calculate 10% of 80 (which is 8) and subtract that from 80. So, the first rack now has 80 - 8 = 72 buns.

  5. To find the overall percentage increase or decrease in the total number of buns displayed, we first find the initial total number of buns, which is 80 (on the first rack) + 68 (on the second rack) = 148 buns. The final total number of buns is 72 (on the first rack now) + 85 (on the second rack now) = 157 buns.

  6. The change in the number of buns is 157 - 148 = 9 buns. To find the percentage change, we divide the change by the initial total and multiply by 100. So, the percentage change is (9 / 148) * 100 = 6.08%.

Rounding to the nearest whole number, the overall percentage increase in the total number of buns displayed is 6%.

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