Question

Saina’s mother gave her ₹(3x
2
y + 5) and her father gave her ₹(5x
2
y+5) for her birthday. Out of this total

money, she spent ₹(–3x2

y + 10) to buy a badminton racket. Find the expression to show how much
money is left with her? If the value of x = 3 and y = 2, what is the exact amount left with her?

Answer 1

$\underline{\underline{\sf{\maltese\:\:Question}}}$

• Saina’s mother gave her ₹ (3x²y + 5) and her father gave her ₹ (5x² y + 5) for her birthday. Out of this total  money, she spent ₹ (-3x²y + 10) to buy a badminton racket. Find the expression to show how much money is left with her ? If the value of x = 3 and y = 2, what is the exact amount left with her?

$\underline{\underline{\sf{\maltese\:\:Given}}}$

• Money given to Saina by Her mother = ₹ (3x²y + 5)

• Money given to Saina by Her father = ₹ (5x²y + 5)

• Money spent for buying a badminton racket = ₹ (-3x²y + 10)

$\underline{\underline{\sf{\maltese\:\:To\:Find}}}$

• Expression to show how much money is left with her
• Exact amount left with Saina if x = 3 and y = 2

$\underline{\underline{\sf{\maltese\:\:Answer}}}$

• Required Expression = 11x²y

• Exact Amount Left with Saina = ₹ 132

$\underline{\underline{\sf{\maltese\:\:Calculations}}}$

Money Left with Her = [(Money given to Saina by Her mother) + (Money given to Saina by Her father)] - Money spent for Buying Badminton Racket

⇒ Money Left with Her = [(3x²y + 5) +  (5x²y + 5)] -  (-3x²y + 10)

⇒ Money Left with Her = [3x ²y + 5 +  5x²y + 5] + 3x²y - 10

⇒ Money Left with Her = [3x ²y +  5x²y + 5 + 5]  + 3x²y - 10

⇒ Money Left with Her = [3x²y +  5x²y + 10]  + 3x²y - 10

⇒ Money Left with Her = [8x²y + 10]  + 3x²y - 10

⇒ Money Left with Her = 8x²y + 10 + 3x²y - 10

⇒ Money Left with Her = 8x²y + 3x²y

⇒ Money Left with Her = 11x²y         [Required Expression]

Exact Amount Left with Her = 11x²y

⇒ Exact Amount Left with Her = 11 × x² × y

Substitute the values of x and y

⇒ Exact Amount Left with Her = 11 × (2)² × 3

⇒ Exact Amount Left with Her = 11 × 4 × 3

⇒ Exact Amount Left with Her = 44 × 3

⇒ Exact Amount Left with Her = ₹ 132

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