Demarcus and his brother are saving up some money to take a trip together. to open a joint savings account, demarcus deposited a

Question

2 years ago

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Demarcus and his brother are saving up some money to take a trip together. to open a joint savings account, demarcus deposited a

certain amount of money, d, and his brother deposited $7 more than demarcus. after one month of saving, they noticed that the balance in their savings account, $111, was triple the amount that they started with. the situation can be modeled by the equation 3 (d + d + 7) = 111. demarcus was solving the equation and his first step was to divide both sides by 3. his brother started solving the equation by using the distributive property. their banker started solving the equation by combining like terms. complete each person's method.

Mathematics

1 answer:

Anastaziya [24] · Answer 1 · 2023-11-27T20:08:11+03:00

a. Demarcus' method is (d + d + 7) = 111/3

b. His brother's method is 3d + 3d + 3 × 7 = 111

c. The banker's method is 3(2d + 7) = 111

<h3>How to complete each person's method</h3>

Each pperson's method is the solution to a linear equation

<h3>What is a linear equation?</h3>

A linear equation is an equation in which the highest power of the unknown is 1.

<h3>a. How to complete Demarcus' method?</h3>

Since the equation is given by 3(d + d + 7) = 111 and demarcus was solving the equation and his first step was to divide both sides by 3, we have that

3(d + d + 7) = 111

(d + d + 7) = 111/3

d + d + 7 = 37

2d + 7 = 37

2d = 37 - 7

2d = 30

d = 30/2

d = 15

So, Demarcus' method is (d + d + 7) = 111/3

<h3>b. How to complete his brother's method?</h3>

Since the equation is given by 3(d + d + 7) = 111 and his brother started solving the equation by using the distributive property,we have that

3(d + d + 7) = 111

3d + 3d + 3 × 7 = 111

3d + 3d + 21 = 111

6d + 21 = 111

6d = 111 - 21

6d = 90

d = 90/6

d = 15

So, his brother's method is 3d + 3d + 3 × 7 = 111

<h3>c. How to complete the banker's method?</h3>

Since the equation is given by 3(d + d + 7) = 111 and their banker started solving the equation by combining like terms, we have that

3(d + d + 7) = 111