Question

Mr. Lopez wrote the equation 32g+8g-10g=150 on the board. Four students explained how to solve for g. Alyssa: “I added 32 and 8 to get 40, subtracted 10 to get 30, and then subtracted 30 from 150 to find the value of g, which is 120.” Rahul: “I added 32, 8, and 10 to get 50, and then I subtracted 150 to find the value of g, which is –100.” Toni: “I subtracted 18 from 32 to get 14, which I then divided into 150 to find the value of g, which is ” Wilhem: “I added 32 and 8 to get 40, subtracted 10 to get 30, and then divided both sides by 30 to find the value of g, which is 5.” Which student’s work is correct?

Answer 1

Answer:

Wilhem

Step-by-step explanation:

The given equation is

$32g+8g-10g=150$

Step 1 : Add 32g and 8g.

$(32g+8g)-10g=150$

$(32+8)g-10g=150$

$40g-10g=150$

Step 2: Subtract 10 from 40.

$(40-10)g=150$

$30g=150$

Step 3: Divide both sides by 30, find the value of g.

$\frac{30g}{30}=\frac{150}{30}$

$g=5$

The value of g is 5.

Therefore, Wilhem is correct.

Answer 2

Answer: D

Wilhem

Step-by-step explanation:

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