Question

the price of a bat and an umbrella is rupees 500 the cost of the bag is rupees 150 more than that of the umbrella find the cost of each one the answer in the algebraic form

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Answer 1

Answer:-

$\red{\bigstar}$ Cost of

• Bat $\large\leadsto\boxed{\tt\purple{Rs. 325}}$

• Umbrella $\large\leadsto\boxed{\tt\purple{Rs. 175}}$

• Given:-

• Price of bat and umbrella is Rs. 500
• Cost of the bat is Rs. 150 more than that of umbrella

• To Find:-

• Cost of bat and umbrella.

• Solution:-

Let the cost of the bat be 'x' and cost of the umbrella be 'y'.

• According to the question:-

Price of bat and umbrella is Rs. 500

Therefore,

$\pink{\bigstar}$ $\bf{x + y = 500} \dashrightarrow\bf\red{[eqn.i]}$

Also,

The cost of bat is Rs. 150 more than that of umbrella.

We know, Cost of umbrella is y and of bat is x.

Hence,

$\pink{\bigstar}$ $\bf{x = y+150} \dashrightarrow\bf\red{[eqn.ii]}$

• Substituting the eqn.[ii] in eqn.[i]:-

→ $\sf x+y = 500$

→ $\sf y+150 + y = 500$

→ $\sf 2y + 150 = 500$

→ $\sf 2y = 500-150$

→ $\sf 2y = 350$

→ $\sf y = \dfrac{350}{2}$

$\pink{\bigstar}$ $\large{\tt\blue{y = 175}}$

• Substituting the value of y in eqn.[i]:-

→ $\sf x + y = 500$

→ $\sf x + 175 = 500$

→ $\sf x = 500 - 175$

$\pink{\bigstar}$ $\large{\tt\blue{x = 325}}$

Therefore, the cost of bat is Rs. 325 and the cost of umbrella is Rs. 175.

$\red{\bigstar}$ Verification:-

→ $\sf 175 + 325$

→ $\sf 500$

★ HENCE VERIFIED★

Answer 2

$\huge{\boxed{\rm{\red{Question}}}}$

The price of a bat and an umbrella is rupees 500 the cost of the bag is rupees 150 more than that of the umbrella find the cost of each one.

Note - The answer in the algebraic form

$\huge{\boxed{\rm{\red{Answer}}}}$

$\large{\boxed{\sf{\pink{✧ \: Given \: that}}}}$

• Cost of the bat is 150 rupees more than cost of umbrella.
• The cost of bat and umbrellas are 500 Rupees.

$\large{\boxed{\sf{\pink{✧ \: G</p><p>To \: find}}}}$

• Cost of umbrella and the bat.

$\large{\boxed{\sf{\pink{✧ \: Solution}}}}$

• Price of the bat = 325 Rupees.
• Price of the umbrella = 175 Rupees.

$\large{\boxed{\sf{\pink{✧ \: Full \: solution}}}}$

Their cost is not given so we have to assume their cost.

Let the cost of bat will be $\large\purple{\texttt{x}}$ and let the cost of umbrella will be $\large\purple{\texttt{y}}$

◕ $\large\green{\texttt{According to the question}}$

↝ We know that price of umbrella nd the bat is Rupees 500.

$\large\green{\texttt{Therefore,}}$

• x + y = 500 $\large\gray{\texttt{Equation 1}}$

$\large\green{\texttt{We also know that}}$

• Cost of the bat is 150 rupees more than cost of umbrella.

$\large\green{\texttt{Now,}}$

• x = y + 150 $\large\gray{\texttt{Equation 2}}$

$\large\green{\texttt{Substituting the value}}$

• x + y = 500
• y + 150 + y = 500
• 2y + 150 = 500
• 2y = 500 - 150
• 2y = 350
• y = 350/2
• y = 175

Hence, y = 175

$\large\green{\texttt{Substituting the value}}$

• x + y = 500
• x + 175 = 500
• x = 500 - 175
• x = 325

Hence, x = 325

We write umbrella as y = 175 rupees

We write bat as x = 325 rupees

@Itzbeautyqueen23

Hope it's helpful

Thank you :]