which is more economical: purchasing the economy size of a detergent at 5 kilograms for $5.15 or purchasing the regular size at 840 grams for 60cents

Respuesta :

Answer:

Purchasing it for regular at 840 grams for 60 cents.

Step-by-step explanation:


Answer:

Regular size detergent.

Step-by-step explanation:

We have been given that the economy size of a detergent at 5 kilograms costs $5.15.

1 kg = 1000 grams,

5 kg = 5,000 grams.

$1 = 100 cents

$5 = 500 cents.

[tex]\text{Cost per gram of economy size}=\frac{515\text{ cents}}{5000\text{ grams}}[/tex]

[tex]\text{Cost per gram of economy size}=\$0.103\frac{\text{ cents}}{\text{ gram}}[/tex]

[tex]\text{Cost per gram of regular size}=\frac{60\text{ cents}}{840\text{ grams}}[/tex]

[tex]\text{Cost per gram of regular size}=\frac{0.071\text{ cents}}{\text{ gram}}[/tex]

Since the cost per gram of regular size detergent is less than cost per gram of economy size detergent, therefore, regular size detergent is more economical.

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