Question

1 pound of grapes costs 2 dollars and 1 pound of strawberries costs 3 dollars. you found that 1 pound of grapes and 6 pounds of strawberries cost 20 dollars. based on this information, can rooby buy 1 pound of grapes and 6 pounds of strawberries and spend exactly 20 dollars? $2g + 3s = 20$ $2(1) + 3(6) stackrel{?}{=} 20$ $20 stackrel{?}{=} 20$ yes, because 1 pound of grapes and 6 pounds of strawberries cost exactly 20 dollars. no, because 1 pound of grapes and 6 pounds of strawberries cost less than 20 dollars.

Explanation:

Step1: Define variables and formula

Let $g$ = pounds of grapes, $s$ = pounds of strawberries. Total cost formula: $2g + 3s$

Step2: Substitute given values

Substitute $g=1$, $s=6$:
$2(1) + 3(6) = 2 + 18$

Step3: Calculate total cost

$2 + 18 = 20$

Step4: Compare to target cost

$20 = 20$

Answer:

Yes, because 1 pound of grapes and 6 pounds of strawberries cost exactly 20 dollars.