Question

Daley went to the grocery store to buy berries. Blueberries cost $1.50 a pound and strawberries cost $2.25 a pound. Daley spent $10.50 on fruit. The equation he wrote to represent the scenario is 1.5b + 2.25s = 10.5. His solution is: 1. Subtract 2.25s: 1.5b = 10.5 − 2.25s 2. Divide by 1.5: 1.5b 1.5 = 10.5 − 2.25s 1.5 3. Distribute 1.5: b = 7 − 1.5s Daley wrote an equivalent equation to determine how many pounds of blueberries he could buy. Analyze Daley’s work. Did he make an error? Yes. In step 1, he had to subtract 1.5b from both sides. Yes. In step 2, he had to multiply 1.5 to both sides. Yes. In step 3, he can only multiply the 1.5 and 12.5 together. No. He correctly solved for b.

Answer 1

Daley made an error in his solution in step 2. The correct equivalent equation is b = 7 - 1.5s.

Step-by-step explanation:

Daley made an error in step 2 of his solution. In step 2, he divided both sides of the equation by 1.5 instead of multiplying. To solve for b, he should have multiplied both sides by 2, since 1.5 is the coefficient of b in the equation. The correct step 2 should be: 2(1.5b) = 2(10.5 - 2.25s), which simplifies to 3b = 21 - 4.5s. So, the correct equivalent equation is b = 7 - 1.5s.

Answer 2

Answer: 1.5(b)+ 2.25(s) = 10.05

Step-by-step explanation: