Question

Brandon has four more than 3 times the amount of money that Dale has. Together they have $44. What equation represents this? How much money does Dale have? How much money does Brandon have?

Answer 1

Answer:

• Equation: 4 + 3n.
• Dale's Money: $7.3¢
• Brandon's money: $25.9¢

Step-by-step explanation:

Equation

Let "n" represent the number. Then more indicates addition, and times indicates multiplication. With that said, the answer is 4 + 3n.

Dale's Money

Given: $44 in total

44 ÷ 2 (To know how much they have  equally)

22

22 ÷ 3 (Then you divide by 3 because Brandon has 3 times his, the opposite of multiplication is division.)

7.3

Therefore, Dale has $7.3¢

Brandon's money

Given: 4 + 3n. Dale has 7.3

Solve: 7.3 × 3 ( Since Brandon has four more than 3 times the amount of money that Dale has, multiply that and 3)

21.9 (Then add four because Brandon has four more...)

25.9

Therefore, Brandon has $25.9¢

Answer 2

The amount that Brandon and Dale have is $34 and $10, respectively.

What is an equation?

An equation is formed when two expressions are equated with each other with the help of an equal sign.

Let the amount of money that Brandon has be x, and Dale has be y.

As it is given that the sum of the total amount they both had is $44. therefore, the equation that can represent the total amount both of them had is

$x + y = \ 44$

Now, according to the first statement, Brandon has four more than 3 times the amount of money that Dale has. therefore, the equation can be represented as,

$x = 4 + 3y$

Further, as got the two-equation solving the two equations. We have the value of x, therefore, substitute the value of x in the first equation,

$x+y = 44\\\\(4 + 3y )+y= 44\\\\4+4y=44\\\\4y = 40\\\\y = 10$

Now, substitute the value of y in the second equation we get,

$x = 4 + 3y\\\\x = 4 + 3(10)\\\\x = 34$

Hence, The amount that Brandon and Dale have is $34 and $10, respectively.

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