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
Solution
Sure, let's break down the problem step by step.
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The first rack had 80 buns.
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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.
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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.
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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.
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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.
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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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