Problem Set $1$

Use the information in the chart below corresponding to your assigned number to

answer the five questions below.

For questions $1,2,3,4$ use columns A$-$C$.$

For question $5$ use columns $D$ and $E.$

Show all your steps to reach each of your answers.

You go to your favorite food market and see an item that you used to regularly

purchase, although the last time was $8$ months ago. The package looks the same

BUT looking at the label you see that the number of items in the package has

decreased.

What is the percentage of decrease in the quantity from the original package to

the new package? Round answer to one decimal place $($ie the tenths$).$

What should the price of the new package be to keep the original package

quantity to cost ratio the same? Set up and solve a proportion to find this

answer.

Instead of a new lower price for the package with less items, the price is kept the

same as for the original package. This changes the unit price for each item.

What is the percentage that the unit price in the new package has increased

from the unit price in original package? Round your answer to one decimal

place.

Do NOT round when you find the unit prices.

Only round your final percentage answer to one decimal place.$\backslash$table$[[,\backslash$table$[[$A use for$],[$questions $1-],[4]],\backslash$table$[[$B use for$],[$questions $1-],[4]],\backslash$table$[[$C use for$],[$questions $1-],[4]],\backslash$table$[[$D use for$],[$question $5]],\backslash$table$[[$E use for$],[$question $5]]],[\backslash$table$[[$Assigned$],[$Number$]],\backslash$table$[[$Original$],[$Package:$],[$Number of$],[$items$]],\backslash$table$[[$New$],[$Package:$],[$Number of$],[$items$]],\backslash$table$[[$Price of$],[$original and$],[$new package$]],\backslash$table$[[$Percentage$],[$discount$]],\backslash$table$[[$Resulting$],[$Sale price$]]],[1,64,56,4\mathrm{.}25,12\%,12\mathrm{.}50],[2,30,\backslash$table$[[25]],6\mathrm{.}00,22\%,14\mathrm{.}50],[3,25,18,5\mathrm{.}00,32\%,16\mathrm{.}50],[4,15,10,6\mathrm{.}50,13\%,18\mathrm{.}50],[5,16,12,5\mathrm{.}50,23\%,20\mathrm{.}50],[6,64,52,\backslash$table$[[7\mathrm{.}00]],33\%,22\mathrm{.}50],[7,32,28,\backslash$table$[[7\mathrm{.}25]],14\%,24\mathrm{.}50],[8,300,\backslash$table$[[260]],7\mathrm{.}50,24\%,26\mathrm{.}50],[9,232,200,4\mathrm{.}00,34\%,28\mathrm{.}50],[10,40,34,\backslash$table$[[4\mathrm{.}50]],15\%,30\mathrm{.}50],[11,55,45,6\mathrm{.}25,25\%,12\mathrm{.}00],[12,35,25,\backslash$table$[[4\mathrm{.}75]],35\%,14\mathrm{.}00],[13,20,\backslash$table$[[18]],\backslash$table$[[5\mathrm{.}75]],16\%,16\mathrm{.}00],[14,10,7,6\mathrm{.}75,26\%,18\mathrm{.}00],[15,26,22,\backslash$table$[[7\mathrm{.}75]],36\%,20\mathrm{.}00],[16,54,\backslash$table$[[42]],\backslash$table$[[4\mathrm{.}25]],17\%,22\mathrm{.}00],[17,22,18,\backslash$table$[[6\mathrm{.}00]],27\%,24\mathrm{.}00],[18,200,160,5\mathrm{.}00,37\%,26\mathrm{.}00],[19,132,\backslash$table$[[100]],\backslash$table$[[6\mathrm{.}50]],18\%,28\mathrm{.}00],[20,50,\backslash$table$[[44]],\backslash$table$[[5\mathrm{.}50]],28\%,30\mathrm{.}00],[21,65,50,7\mathrm{.}00,38\%,10\mathrm{.}75],[22,30,\backslash$table$[[20]],7\mathrm{.}25,19\%,12\mathrm{.}75],[23,64,\backslash$table$[[48]],7\mathrm{.}50,29\%,14\mathrm{.}75],[24,30,20,\backslash$table$[[4\mathrm{.}00]],39\%,16\mathrm{.}75],[25,16,12,4\mathrm{.}50,11\%,18\mathrm{.}75],[26,64,\backslash$table$[[48]],\backslash$table$[[6\mathrm{.}25]],21\%,20\mathrm{.}75],[27,42,36,\backslash$table$[[4\mathrm{.}75]],31\%,22\mathrm{.}75],[28,400,360,5\mathrm{.}75,13\%,24\mathrm{.}75],[29,332,200,6\mathrm{.}75,23\%,26\mathrm{.}75],[30,60,\backslash$table$[[48]],\backslash$table$[[7\mathrm{.}75]],33\%,28\mathrm{.}75],[31,65,\backslash$table$[[50]],5\mathrm{.}00,14\%,30\mathrm{.}75],[32,30,15,\backslash$table$[[6\mathrm{.}50]],24\%,21\mathrm{.}75],[33,64,\backslash$table$[[48]],5\mathrm{.}50,34\%,25\mathrm{.}75],[34,40,30,\backslash$table$[[4\mathrm{.}75]],15\%,29\mathrm{.}75]]$