Question

directions: determine whether option a or option b is the better deal. 18. option a: $8.99 for 56 oz. of dish soap option b: $2.99 for 21.6 oz. of dish soap 19. option a: 8 pop tarts for $2.04 option b: 12 pop tarts for $3.07 20. option a: $1.67 for 6 packages of ramen noodles option b: $6.99 for 24 packages of ramen noodles 21. option a: 2 lbs of ground beef for $9.99 option b: 3 lbs of ground beef for $14.49

Explanation:

Step1: Calculate unit - price for Option A of dish soap

To find the unit - price, divide the total cost by the number of ounces. For Option A of dish soap, the unit - price $u_{A1}=\frac{8.99}{56}\approx0.16$ dollars per ounce.

Step2: Calculate unit - price for Option B of dish soap

For Option B of dish soap, the unit - price $u_{B1}=\frac{2.99}{21.6}\approx0.14$ dollars per ounce. Since $0.14<0.16$, Option B is the better deal for dish soap.

Step3: Calculate unit - price for Option A of pop tarts

For Option A of pop tarts, the unit - price $u_{A2}=\frac{2.04}{8}=0.255$ dollars per pop tart.

Step4: Calculate unit - price for Option B of pop tarts

For Option B of pop tarts, the unit - price $u_{B2}=\frac{3.07}{12}\approx0.256$ dollars per pop tart. Since $0.255<0.256$, Option A is the better deal for pop tarts.

Step5: Calculate unit - price for Option A of ramen noodles

For Option A of ramen noodles, the unit - price $u_{A3}=\frac{1.67}{6}\approx0.28$ dollars per package.

Step6: Calculate unit - price for Option B of ramen noodles

For Option B of ramen noodles, the unit - price $u_{B3}=\frac{6.99}{24}\approx0.29$ dollars per package. Since $0.28<0.29$, Option A is the better deal for ramen noodles.

Step7: Calculate unit - price for Option A of ground beef

For Option A of ground beef, the unit - price $u_{A4}=\frac{9.99}{2}=4.995$ dollars per pound.

Step8: Calculate unit - price for Option B of ground beef

For Option B of ground beef, the unit - price $u_{B4}=\frac{14.49}{3}=4.83$ dollars per pound. Since $4.83<4.995$, Option B is the better deal for ground beef.

Answer:

1. Option B
2. Option A
3. Option A
4. Option B