332354 + Interview Questions in Secondary School in Math Page 88 InterviewSolution

4351.	Ashley, Bob, and Scott have a total of $95 in their wallets. Scott has 3 times what Bob has. Ashley has $5 less than Bob. How much does each have?
Answer» Step-by-step explanation: As per the provided information in the given question, we have : Ashley, Bob, and Scott have a total of $95 in their WALLETS. Scott has 3 times what Bob has. Ashley has $5 less than Bob. We are asked to calculate how much does each have. ― Let us suppose the share of Bob as X. According to the question, Scott has 3 times what Bob has. Writing the expression of the share of Scott in the terms of Bob's share : $\longrightarrow \sf{\quad { Scott's \; share = <klux>3X</klux>}} \\$ Also, according to the question, Ashley has $5 less than Bob. Writing the expression of the share of Ashley in the terms of Bob's share : $\longrightarrow \sf{\quad { Ashley's \; share = (x - 5) }} \\$ Now, we have been given in the question that Ashley, Bob, and Scott have a total of $95 in their wallets. So, according to this STATEMENT we can conclude that the sum of the share of Ashley, Bob, and Scott will be $95. Writing it in the FORM of a linear equation, $\longrightarrow \sf{\quad { (x - 5) + x + 3x = \$ \; 95 }} \\$ Remove the brackets in the LHS. $\longrightarrow \sf{\quad { x - 5 + x + 3x = \$ \; 95 }} \\$ Performing addition of the like terms in LHS. $\longrightarrow \sf{\quad { - 5 + 5x = \$ \; 95 }} \\$ Transposing – 5 from LHS to RHS, its sign will get changed. $\longrightarrow \sf{\quad {5x = \$ \; 95 + 5 }} \\$ Performing subtraction in RHS. $\longrightarrow \sf{\quad {5x = \$ \; 100 }} \\$ Transposing 5 from LHS to RHS, its arithmetic operator will get changed. $\longrightarrow \sf{\quad {x = \$ \; \cancel{\dfrac{100}{5}} }} \\$ Dividing 100 by 5. $\longrightarrow \quad { \textbf{\textsf{x}} = \sf \$ \; \textbf{\textsf{20}} }\\$ $\underline{ \qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad} \\$ Therefore, Ashley's Share : (x – 5) = $(20 – 5) = $15 Bob's Share : x = $20 Scott's Share : 3x = $ 3(20) = $60

4351.

Ashley, Bob, and Scott have a total of $95 in their wallets. Scott has 3 times what Bob has. Ashley has $5 less than Bob. How much does each have?

Answer»

Step-by-step explanation:

As per the provided information in the given question, we have :

Ashley, Bob, and Scott have a total of $95 in their WALLETS.
Scott has 3 times what Bob has.
Ashley has $5 less than Bob.

We are asked to calculate how much does each have.

― Let us suppose the share of Bob as X. According to the question, Scott has 3 times what Bob has. Writing the expression of the share of Scott in the terms of Bob's share :

$\longrightarrow \sf{\quad { Scott's \; share = <klux>3X</klux>}} \\$

Also, according to the question, Ashley has $5 less than Bob. Writing the expression of the share of Ashley in the terms of Bob's share :

$\longrightarrow \sf{\quad { Ashley's \; share = (x - 5) }} \\$

Now, we have been given in the question that Ashley, Bob, and Scott have a total of $95 in their wallets. So, according to this STATEMENT we can conclude that the sum of the share of Ashley, Bob, and Scott will be $95. Writing it in the FORM of a linear equation,

$\longrightarrow \sf{\quad { (x - 5) + x + 3x = \$ \; 95 }} \\$

Remove the brackets in the LHS.

$\longrightarrow \sf{\quad { x - 5 + x + 3x = \$ \; 95 }} \\$

Performing addition of the like terms in LHS.

$\longrightarrow \sf{\quad { - 5 + 5x = \$ \; 95 }} \\$

Transposing – 5 from LHS to RHS, its sign will get changed.

$\longrightarrow \sf{\quad {5x = \$ \; 95 + 5 }} \\$

Performing subtraction in RHS.

$\longrightarrow \sf{\quad {5x = \$ \; 100 }} \\$

Transposing 5 from LHS to RHS, its arithmetic operator will get changed.

$\longrightarrow \sf{\quad {x = \$ \; \cancel{\dfrac{100}{5}} }} \\$

Dividing 100 by 5.

$\longrightarrow \quad { \textbf{\textsf{x}} = \sf \$ \; \textbf{\textsf{20}} }\\$

$\underline{ \qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad} \\$

Therefore,

Ashley's Share : (x – 5) = $(20 – 5) = $15
Bob's Share : x = $20
Scott's Share : 3x = $ 3(20) = $60

4390.	Simplify (4x)^3 I do RSM please help me out
Answer» 64x^3……………….. HOPE it HELPS you

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