Question

Sanjay uses the steps below to solve the equation 4 p + two-fifths (10 + 2 p) = 8. Step 1 Multiply both sides of the equation by Five-halves. 4 p + 10 + 2 p = 20 Step 2 Simplify like terms. 6 p + 10 = 20 Step 3 Subtract 10 on both sides of the equation. 6 p = 10 Step 4 Divide both sides of the equation by 6. p = StartFraction 10 over 6 EndFraction = Five-thirds = 1 and two-thirds Which is the first error that Sanjay made when finding the solution?

Answer 1

Error is in Step 1.

Step-by-step explanation:

The given equation is

$\quad 4p+\frac{2}{5}(10+2p)=8$

Step 1. Multiply both sides of the equation by Five-halves, i.e., by $\frac{5}{2}$

$\quad \frac{5}{2}(4p+\frac{2}{5}(10+2p)=\frac{5}{2}*8$

$\Rightarrow 10p+10+2p=20$

Step 2. Simplify like terms

$\quad 12p+10=20$

Step 3. Subtract 10 on both sides of the equation. 6

$\quad 12p+10-10=20-10$

$\Rightarrow 12p=10$

Step 4. Divide both sides of the equation by 12

$\quad p=\frac{10}{12}$

$\Rightarrow p=\frac{5}{6}$

Answer: Therefore the required solution is

$\quad\quad\quad p=\frac{5}{6}$.

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Answer 2

Answer:

In other words, the answer is B.

Step-by-step explanation: