Question

1. Sara bought cartons of raspberries that cost $1.50 and cartons of blackberries cost $2. Sara spent $11 buying raspberries and blackberries. She bought a total of 6 cartons. How many cartons of blackberries did she buy?​

Answer 1

Sara bought 4 cartons of blackberries by setting up and solving a system of linear equations based on the cost and total number of cartons she purchased.

Step-by-step explanation:

To solve how many cartons of blackberries Sara bought, we can set up two equations based on the information provided. Let x be the number of raspberry cartons and y be the number of blackberry cartons Sara purchased. We know that x + y = 6 because Sara bought a total of 6 cartons. We also know that 1.50x + 2y = 11 because she spent $11 in total, with raspberries costing $1.50 each and blackberries costing $2 each.

To find the number of blackberries cartons, we can solve this system of linear equations. Multiplying the first equation by 1.50 gives us 1.50x + 1.50y = 9. Subtracting this from the second equation gives us 2y - 1.50y = 11 - 9, which simplifies to 0.50y = 2. Dividing both sides by 0.50, we get y = 4.

Therefore, Sara bought 4 cartons of blackberries.

Answer 2

Sara brought a total of 5 cartons of blackberries. Since it said that Sara brought 6 cartons and you know that the cost of the blackberries are $2, you multiply 6 with 2 but its 12. But if Sara brought 2 cartons of raspberries it will be $3. Now you subtract 6 with 2 since you used 2 cartons on raspberries and now multiply $2 with 4 and get 8. 8+3=11, which is exactly how much she needs. This means that Sara brought 4 cartons of blackberries.