jan went grocery shopping and only bought items which had been marked down. the items she bought, along with…

jan went grocery shopping and only bought items which had been marked down. the items she bought, along with their prices, can be seen below.\n| item | final price | markdown |\n|--|--|--| \n| chicken | $8.47 | 15% |\n| milk | $2.16 | 20% |\n| onions | $0.89 | 10% |\n| potato chips | $1.45 | 12% |\n| oranges | $1.36 | 25% |\n| flour | $4.39 | 18% |\nwhat would be the total of jans grocery bill if she purchased all of the items before they were marked down?\n a. $15.85\n b. $16.50\n c. $22.46\n d. $24.66

jan went grocery shopping and only bought items which had been marked down. the items she bought, along with their prices, can be seen below.\n| item | final price | markdown |\n|--|--|--| \n| chicken | $8.47 | 15% |\n| milk | $2.16 | 20% |\n| onions | $0.89 | 10% |\n| potato chips | $1.45 | 12% |\n| oranges | $1.36 | 25% |\n| flour | $4.39 | 18% |\nwhat would be the total of jans grocery bill if she purchased all of the items before they were marked down?\n a. $15.85\n b. $16.50\n c. $22.46\n d. $24.66

Answer

Explanation:

Step1: Find original price of chicken

Let original price be $x$. Since it has a 15% markdown, the final price is $x(1 - 0.15)=8.47$. So $x=\frac{8.47}{1 - 0.15}=\frac{8.47}{0.85}=9.9647$ (rounded to 4 - decimal places).

Step2: Find original price of milk

Let original price be $y$. With a 20% markdown, $y(1 - 0.20)=2.16$. So $y=\frac{2.16}{1 - 0.20}=\frac{2.16}{0.8}=2.7$.

Step3: Find original price of onions

Let original price be $z$. With a 10% markdown, $z(1 - 0.10)=0.89$. So $z=\frac{0.89}{1 - 0.10}=\frac{0.89}{0.9}\approx0.9889$ (rounded to 4 - decimal places).

Step4: Find original price of potato chips

Let original price be $w$. With a 12% markdown, $w(1 - 0.12)=1.45$. So $w=\frac{1.45}{1 - 0.12}=\frac{1.45}{0.88}\approx1.6477$ (rounded to 4 - decimal places).

Step5: Find original price of oranges

Let original price be $u$. With a 25% markdown, $u(1 - 0.25)=1.36$. So $u=\frac{1.36}{1 - 0.25}=\frac{1.36}{0.75}\approx1.8133$ (rounded to 4 - decimal places).

Step6: Find original price of flour

Let original price be $v$. With a 18% markdown, $v(1 - 0.18)=4.39$. So $v=\frac{4.39}{1 - 0.18}=\frac{4.39}{0.82}\approx5.3537$ (rounded to 4 - decimal places).

Step7: Calculate total original price

Total = $9.9647+2.7 + 0.9889+1.6477+1.8133+5.3537=22.4683\approx22.46$.

Answer:

c. $22.46$