Maths-
General
Easy
Question
Yuson used her calculator to solve the equation 4x/5 - 8 = 3 , she entered the following on her screen and got an incorrect answer. How could she use parentheses to find the correct answer ? Explain. What is the correct answer ?
Hint:
1. Using BODMAS rule, the calculator will first multiply 8 and 5 then divide the answer so obtained with 4 and finally add 3.
The correct answer is: Correct command for calculator using parentheses- (3+8)5/4 and correct solution is x = 13.75.
"Step-by-step solution:-
Required solution-
4x/5 - 8 = 3
∴ 4x/5 = 3 + 8 …...................................... (Taking all the constants on 1 side of the equation) ............................. (Step- 1)
∴ 4x = (3 + 8) × 5 ................................ (Multiplying both sides by 5) .................................................................. (Step- 2)
∴ x = (3 + 8) × 5 / 4 .......................... (Dividing both sides by 4) ........................................................................ (Step- 3)
∴ x = 11 × 5/4
∴ x = 55/4
∴ x = 13.75 ......................................... (Equation i)
We see from the above solution that in Step- 2, we have multiplied both sides by 5. However, the entire RHS is being multiplied by 5.
i.e. (3 + 8) × 5.
We can see from the screen shot attached in the question that 5 is multiplied by only 8 which results to 40/4 =>> 10 + 3 =>> 13.
Hence, the answer obtained is not correct.
Hence, Yuson should use parentheses for the term '3 + 8' and solve further.
Correct command to be given on the calculator would be- (3+8) × 5/4.
Correct answer is x = 13.75 ......................... (From Equation i)
Final Answer:-
∴ Correct command for calculator using parentheses- (3+8)5/4 and correct solution is x = 13.75.
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