Final answer:
To find the cost of purchasing 7.5 pounds of cashews, divide the cost for 3/4 pound by 3/4 to find the cost for 1 pound. Then, multiply the cost for 1 pound by 7.5 to find the cost for 7.5 pounds. The cost would be approximately $95.93.
Step-by-step explanation:
To find the cost of purchasing 7.5 pounds of cashews, we can set up a proportion using the given information. We know that $9.59 is the cost for 3/4 pound of cashews. Therefore, the cost for 1 pound of cashews can be found by dividing $9.59 by 3/4. Once we know the cost for 1 pound, we can multiply it by 7.5 to find the cost for 7.5 pounds of cashews.
Step 1: Divide $9.59 by 3/4 to find the cost for 1 pound of cashews: $9.59 ÷ 3/4 = $12.79
Step 2: Multiply the cost for 1 pound by 7.5 to find the cost for 7.5 pounds of cashews: $12.79 * 7.5 = $95.93
Therefore, it would cost approximately $95.93 to purchase 7.5 pounds of cashews.