Solve : x - 2 x - 3 x - 4 7 = 4 x - 27 3 - 3

Givne, x - 2 x × 7 - 1 × 3 x - 4 7 = 4 x - 27 3 - 3 ⟹ x - 14 x - 3 x + 4 ) 7 = 4 x - 27 3 - 3 ⟹ x - 11 x + 4 ) 7 = 4 x - 27 3 - 3 ⟹ x 1 - 11 x + 4 ) 7 - 4 x - 27 3 = - 3 ⟹ x × 21 - 3 11 x + 4 - 7 4 x - 27 21 = - 3 ⟹ 21 x - 33 x - 12 - 28 x + 189 21 = - 3 ⟹ - 40 x + 177 21 = - 3 ⟹ - 40 x + 177 = - 3 × 21 ⟹ - 40 x + 177 = - 63 ⟹ - 40 x = - 63 - 177 ⟹ - 40 x = - 240 ⟹ x = - 240 - 40 ⟹ x = 6 Hence, this is the required answer.

The total cost of the three prizes is ₹ 2550 . If the cost of the second prize is 3 4 t h of the first prize and the cost of 3 r d prize is 1 2 of the second prize, then find the cost of each prize.

The total cost of three prizes = ₹ 2550 Let the cost of the first prize be ₹ x The cost of the second prize = 3 4 of the first prize ⇒ 3 4 x The cost of the third prize = 1 2 of the second prize ⇒ 1 2 × 3 4 × x ⇒ 3 8 x Now, x + 3 4 x + 3 8 x = ₹ 2550 ⇒ 8 x + 6 x + 3 x 8 = 2550 ⇒ 17 x 8 = 2550 ⇒ x = 2550 × 8 17 ⇒ x = 2550 × 8 17 = 1200 Hence, the first, second and third prizes are ₹ 1200 , ₹ 900 & ₹ 450 .

Solve the following equation and check your answer: 3 4 7 x - 1 - 2 x - 1 - x 2 = x + 3 2

Given, 3 4 7 x - 1 - 2 x - 1 - x 2 = x + 3 2 ⇒ 21 x 4 - 3 4 - 2 x + 1 - x 2 = x + 3 2 ⇒ 21 x 4 - 2 x + 1 - x 2 - x = 3 2 + 3 4 ⇒ 21 x - 8 x + 2 1 - x - 4 x = 6 + 3 ⇒ 13 x + 2 - 2 x - 4 x = 9 ⇒ 7 x = 7 ⇒ x = 1 Now, verify this result in the given equation, 3 4 7 1 - 1 - 2 1 - 1 - 1 2 = 1 + 3 2 3 4 7 - 1 - 2 - 0 2 = 1 + 3 2 18 4 - 2 = 1 + 3 2 9 - 4 2 = 2 + 3 2 5 2 = 5 2 The LHS is equal to the RHS Hence, the required answer is x = 1 .

E M B I B E

Foundation Course Mathematics>Chapter 4 - Simple Equations>EXERCISE>Q 1

MEDIUM

7th CBSE

IMPORTANT

Earn 100

Solve the following equation and check your answer:

$6 (3 x + 2) - 5 (6 x - 1) = 3 (x - 8) - 5 (7 x - 6) + 9 x$

Important Questions on Simple Equations

MEDIUM

7th CBSE

IMPORTANT

Foundation Course Mathematics>Chapter 4 - Simple Equations>EXERCISE>Q 2

Solve : $x - (2 x - \frac{3 x - 4}{7}) = \frac{4 x - 27}{3} - 3$

MEDIUM

7th CBSE

IMPORTANT

Foundation Course Mathematics>Chapter 4 - Simple Equations>EXERCISE>Q 3

The total cost of the three prizes is $₹ 2550$ . If the cost of the second prize is ${(\frac{3}{4})}^{t h}$ of the first prize and the cost of $3^{r d}$ prize is $\frac{1}{2}$ of the second prize, then find the cost of each prize.