An advertisement claims that a 5-pound box of detergent will wash 20 loads of laundry. A 5-pound box costs $3.50. A 15-pound box costs $10.00. About how much will you save per load if you buy the 15-pound box? A. 16.7 cents B. 0.8 cent C. 17.5 cents D. 8.3 cents

Respuesta :

Answer. Option  B. 0.8 cents.


Solution:

With a 5-pound box of detergent will wash 20 loads of laundry, then with a 15-pound box (5*3) of detergent will wash 20*3=60 loads of laundry, and you would pay $10.00.

To wash 60 loads of laundry with 5-pound box, you would need three 5-pound box, and you would pay $3.50*3=$10.50.


Then you would save in total $10.50-$10.00=$0.50

And per load, you would save: $0.50/60=$0.008=0.008*100 cents=0.8 cents

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that

Cost of 5 - pound box of detergent = $3.50

Cost of 15 - pound box of detergent = $10.00

Number of loads can wash 5-pound box of detergent = 20

Number of loads can wash 15-pound box of detergent = [tex]20\times 3=60[/tex]

For 60 loads to be washed in 15 pound box of detergent costs $10.00

For 60 loads to be washed in 5 pound box of detergent costs

[tex]3.50\times 3\\\\=\$10.50[/tex]

So, total saving while using 15 pound box of detergent is given by

[tex]10.50-10.00\\\\=\$0.50[/tex]

So, total saving per load would be

[tex]\dfrac{0.50}{60}=\$0.008=0.8\ cents[/tex]

Hence, option 'B' is correct.