Question

1 pound of grapes costs 2 dollars and 1 pound of strawberries costs 3 dollars. you found that 4 pounds of grapes and 4 pounds of strawberries cost 20 dollars. based on this information, can rooby buy 4 pounds of grapes and 4 pounds of strawberries and spend exactly 20 dollars? $2g + 3s = 20$ $2(4)+3(4) \stackrel{?}{=} 20$ $20 \stackrel{?}{=} 20$ yes, because 4 pounds of grapes and 4 pounds of strawberries cost exactly 20 dollars. no, because 4 pounds of grapes and 4 pounds of strawberries cost less than 20 dollars.

Explanation:

Step1: Substitute values into equation

Substitute $g=4$ and $s=4$ into $2g + 3s$.

$$\begin{align*} 2(4) + 3(4) &= 8 + 12 \end{align*}$$

Step2: Calculate total cost

Sum the two products to get total cost.
$8 + 12 = 20$

Step3: Compare to target amount

Check if total equals 20 dollars.
$20 = 20$

Answer:

Yes, because 4 pounds of grapes and 4 pounds of strawberries cost exactly 20 dollars.