Grace examines two different size bottles of the same laundry detergent. The price for the $100$ -ounce bottle is $\$ 9.99$ and the price for the $150$ -ounce bottle is $\$ 12.99$ . How much money will Grace save per $100$ ounces if she purchases the larger bottle? $\newline$ Choose $1$ answer: $\newline$ (A) $\$ 0.01$ $\newline$ (B) $\$ 1.33$ $\newline$ (C) $\$ 2.00$ $\newline$ (D) $\$ 8.66$

Full solution

Q. Grace examines two different size bottles of the same laundry detergent. The price for the

100

-ounce bottle is

\$ 9.99

and the price for the

150

-ounce bottle is

\$ 12.99

. How much money will Grace save per

100

ounces if she purchases the larger bottle?

\newline

Choose

1

answer:

\newline

(A)

\$ 0.01

\newline

(B)

\$ 1.33

\newline

(C)

\$ 2.00

\newline

(D)

\$ 8.66

Calculate price per ounce for $100$ -ounce bottle: Calculate the price per ounce for the $100$ -ounce bottle. $\newline$ Price per ounce for $100$ -ounce bottle = Total price / Number of ounces $\newline$ = $\$9.99 / 100$ ounces $\newline$ = $\$0.0999$ per ounce
Calculate price per ounce for $150$ -ounce bottle: Calculate the price per ounce for the $150$ -ounce bottle. $\newline$ Price per ounce for $150$ -ounce bottle = Total price / Number of ounces $\newline$ = $\$12.99 / 150$ ounces $\newline$ = $\$0.0866$ per ounce (rounded to four decimal places)
Calculate savings per ounce: Calculate the savings per ounce by subtracting the price per ounce of the larger bottle from the price per ounce of the smaller bottle. $\newline$ Savings per ounce = Price per ounce for $100$ -ounce bottle - Price per ounce for $150$ -ounce bottle $\newline$ = $\$0.0999$ - $\$0.0866$ $\newline$ = $\$0.0133$ per ounce
Calculate savings per $100$ ounces: Calculate the savings per $100$ ounces by multiplying the savings per ounce by $100$ . $\newline$ Savings per $100$ ounces = Savings per ounce $*$ $100$ $\newline$ = \$$0. $0133$ $*$ $100$ $ $\newline$ = $\$1.33$