Math, asked by ITSVIPIN, 2 months ago

prepare a pie chart to find the information
about the existing endangered and
extinct species of animal found in india
from red data book and make a
comparative table about your findings

Answers

Answered by OoitzyourbfOo

Answer:

Ball = Rs 100 ✬

Step-by-step explanation:

Given:

Cost of 7 bats and 6 balls is Rs 13200.

Cost of 3 bats and 5 balls is Rs 5900.

To Find:

What is the cost of each bat and ball ?

Solution: Let the cost of each bat and ball be Rs x and y respectively.

➙ Cost of 7 bats = Rs 7x

➙ Cost of 6 balls = Rs 6y

\implies{\rm }⟹ 7x + 6y = 13200

Equation 1

Now , In second case

➙ Cost of 3 bats = Rs 3x

➙ Cost of 5 balls = Rs 5y

\implies{\rm }⟹ 3x + 5y = 5900

Equation 2

[ Multiplying 5 in equation 1 and 6 in equation 2 ]

➯ (7x + 6y) 5 = 13200 × 5

35x + 30y = 66000ㅤㅤㅤeqⁿ i

➯ (3x + 5y) 6 = 5900 × 6

18x + 30y = 35400ㅤㅤeqⁿ ii

ㅤㅤㅤㅤㅤ35x + 30y = 66000

ㅤㅤㅤㅤㅤ18x + 30y = 35400

ㅤㅤㅤㅤㅤ–ㅤㅤ–ㅤㅤ–

ㅤㅤㅤㅤ━━━━━━━━━━━━━━━

ㅤㅤㅤㅤㅤ17x = 30600

∴ x = 30600/17 = 1800

Now putting the value of x in equation 1.

\implies{\rm }⟹ 7 × 1800 + 6y = 13200

\implies{\rm }⟹ 6y = 13200 – 12600

\implies{\rm }⟹ y = 600/6

\implies{\rm }⟹ y = 100

Hence, the cost of each bat and ball is Rs 1800 & Rs 100 respectively.