Question

hayden and jamie completed 20 math problems together, jamie completed 2 more than twice the number that hayden completed. Let p represent the number of math problems hayden completed. Write an equation that can be used to find the number of math problems that jamie completed.

Answer 1

Answer:

2p+2+p = 20

Step-by-step explanation:

Let p represent the number of Math problems Hayden completed.

Let 2p+2 represent the number of Math problems Jamie completed.

Next, we have to add them together so that the total Math problems they completed will be equal to 20.

Let's solve.

• 2p+2+p = 20
• 3p+2 = 20
• 3p = 20-2
• 3p = 18

• p = $\frac{18}{3}$

• p = 6

Therefore, Hayden completed 6 Math problems.

Next, we have to get how many problems Jamie completed.

Let's solve.

• 2p+2 = ?
• 2(6)+2 = ?
• 12+2 = ?
• 14

Therefore, Jamie completed 14 Math problems.

Let's check.

• 2p+2+p = 20

• 14+6 = 20
• 20 = 20

It's correct!