Question

liam wants to buy raspberries and pears to make a fruit tart. raspberries cost $2.70 per pound and pears cost $2.25 per pound. how much does he spend if he buys 3 pounds of raspberries and 2 pounds of pears? how much does he spend if he buys x pounds of raspberries and y pounds of pears?
answer
total cost, 3 pounds of raspberries and 2 pounds of pears:
total cost, x pounds of raspberries and y pounds of pears:
student answer

Explanation:

Step1: Calculate cost of raspberries (3 pounds)

Raspberries cost $2.70 per pound. For 3 pounds, cost is \( 3 \times 2.70 \).
\( 3 \times 2.70 = 8.10 \)

Step2: Calculate cost of pears (2 pounds)

Pears cost $2.25 per pound. For 2 pounds, cost is \( 2 \times 2.25 \).
\( 2 \times 2.25 = 4.50 \)

Step3: Total cost for 3 lbs raspberries and 2 lbs pears

Add the two costs: \( 8.10 + 4.50 = 12.60 \)

Step4: General formula for x lbs raspberries and y lbs pears

Cost of raspberries: \( 2.70x \), cost of pears: \( 2.25y \). Total cost: \( 2.70x + 2.25y \)

Answer:

• Total cost, 3 pounds of raspberries and 2 pounds of pears: $\boldsymbol{12.60}$ (dollars, assuming currency)
• Total cost, $x$ pounds of raspberries and $y$ pounds of pears: $\boldsymbol{2.70x + 2.25y}$