Question

Sammy picks blueberries and cherry tomatoes.

• She earns $3.00 for each pint of blueberries and $2.00 for every pint of cherry tomatoes she picks.
• Sammy earned a total of $28.00.
• She picked twice as many pints of tomatoes as blueberries.
How many pints of blueberries did Sammy pick?

Answer 1

Explanation:

b = pints of blueberries

c = pints of cherry tomatoes

3b + 2c = 28

2b = c

First, substitute 2b into the c of the first equation.

3b + 2(2b) = 28

3b + 4b = 28

7b = 28

b = 4

Then, substitute 4 into the b of the second equation.

2(4) = c

c = 8

Then, substitute both values into the first equation to check.

3(4) + 2(8) = 28

12 + 16 = 28