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Here is Fred's basket of purchases in 2021:
- Pizzas: 20
- Beer: 50
- Gas: 30

The prices of these items in 2021 are:
- Pizzas: $8
- Beer: $3
- Gas: $3.50

In 2022, the prices change to:

A) Pizzas: $10, Beer: $2, Gas: $4
B) Pizzas: $6, Beer: $4, Gas: $3
C) Pizzas: $9, Beer: $3.50, Gas: $4
D) Pizzas: $11, Beer: $2.50, Gas: $3.25

Answer :

Final answer:

Fred's basket of purchases in 2021 includes 20 pizzas, 50 beers, and 30 gallons of gas. Given the prices in 2021 and the price changes in 2022 (Option B)

Explanation:

In 2021, Fred bought 20 pizzas, 50 beers, and 30 gallons of gas. At the 2021 prices of $8 per pizza, $3 per beer, and $3.50 per gallon of gas, the total expenditure can be calculated as follows:

Total spent on pizzas = 20 * $8 = $160

Total spent on beers = 50 * $3 = $150

Total spent on gas = 30 * $3.50 = $105

Total expenditure in 2021 = $160 + $150 + $105 = $415

Now, in 2022, given the price changes, we need to recalculate the total expenditure using the new prices. Option B states that pizzas cost $6, beers cost $4, and gas costs $3 per gallon. Therefore, the new total expenditure can be calculated as follows:

Total spent on pizzas = 20 * $6 = $120

Total spent on beers = 50 * $4 = $200

Total spent on gas = 30 * $3 = $90

Total expenditure in 2022 = $120 + $200 + $90 = $410

Comparing the total expenditures in 2021 and 2022, we find that option B yields the closest total expenditure to the original $415. Thus, the correct option is B) Pizzas $6, Beer $4, Gas $3. (Option B)

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