Question

if 2.5 pounds of strawberries cost $10, how much do 8 pounds of strawberries cost?
$40.00
$2.00
$32.00
$3.13
question 18 (5 points)
a recipe for 24 cookies requires$1\frac{1}{2}$ cups of sugar. if ben wants to make 36 cookies, how much sugar does he need?
2 cups
$2\frac{1}{2}$ cups
$2\frac{1}{4}$ cups

Explanation:

First Question (Strawberries Cost)

Step1: Find cost per pound

To find the cost per pound, divide total cost by pounds. So, cost per pound = $\frac{10}{2.5}$.
$\frac{10}{2.5} = 4$ dollars per pound.

Step2: Calculate cost for 8 pounds

Multiply cost per pound by 8 pounds. Cost = $4 \times 8$.
$4 \times 8 = 32$ dollars.

Step1: Find sugar per cookie

First, convert $1\frac{1}{2}$ to improper fraction: $1\frac{1}{2} = \frac{3}{2}$. Then, sugar per cookie = $\frac{\frac{3}{2}}{24}$.
$\frac{\frac{3}{2}}{24} = \frac{3}{2} \times \frac{1}{24} = \frac{3}{48} = \frac{1}{16}$ cups per cookie.

Step2: Calculate sugar for 36 cookies

Multiply sugar per cookie by 36. Sugar = $\frac{1}{16} \times 36$.
$\frac{1}{16} \times 36 = \frac{36}{16} = \frac{9}{4} = 2\frac{1}{4}$? Wait, no, wait. Wait, maybe better to use proportion. Let $x$ be sugar for 36 cookies. Then $\frac{1\frac{1}{2}}{24} = \frac{x}{36}$. Cross - multiply: $24x = 1\frac{1}{2} \times 36$. $1\frac{1}{2} = \frac{3}{2}$, so $24x = \frac{3}{2} \times 36 = 54$. Then $x = \frac{54}{24} = \frac{9}{4} = 2\frac{1}{4}$? Wait, but the options have $2\frac{1}{4}$? Wait, no, wait the options are 2 cups, $2\frac{1}{2}$ cups, $2\frac{1}{4}$ cups. Wait, let's recalculate. Wait, 24 cookies need $1.5$ cups. 36 is 1.5 times 24 (since 36/24 = 1.5). So sugar needed is $1.5 \times 1.5 = 2.25$ cups, which is $2\frac{1}{4}$ cups? Wait, no, 1.5 times 1.5 is 2.25? Wait, no, 24 to 36 is a ratio of 36/24 = 3/2. So multiply sugar by 3/2. $1.5 \times \frac{3}{2} = \frac{3}{2} \times \frac{3}{2} = \frac{9}{4} = 2.25 = 2\frac{1}{4}$ cups. Wait, but let's check again. 24 cookies: 1.5 cups. 12 cookies: 0.75 cups. So 36 cookies is 24 + 12, so 1.5 + 0.75 = 2.25 cups, which is $2\frac{1}{4}$ cups. Wait, but the options have $2\frac{1}{4}$ as an option? Wait, the options are 2 cups, $2\frac{1}{2}$ cups, $2\frac{1}{4}$ cups. Wait, maybe I made a mistake earlier. Wait, let's do proportion:

Let $x$ be the sugar for 36 cookies.

$\frac{24}{1\frac{1}{2}} = \frac{36}{x}$ (Wait, no, proportion is (cookies)/(sugar) = (cookies)/(sugar)). So $\frac{24}{1.5} = \frac{36}{x}$.

$24x = 36 \times 1.5$

$24x = 54$

$x = 54 / 24 = 2.25 = 2\frac{1}{4}$ cups.

Answer:

\$32.00

Second Question (Sugar for Cookies)