Advertisements
Advertisements
Question
In a bag there are 5 and 2 rupee coins. If they are equal in number and their worth is ₹ 70, then
- The worth of x coins of ₹ 5 each ______.
- The worth of x coins of ₹ 2 each ______.
- The equation formed is ______.
- There are ______ 5 rupee coins and ______ 2 rupee coins.
Solution
- The worth of x coins of ₹ 5 each 5x.
- The worth of x coins of ₹ 2 each 2x.
- The equation formed is 2x + 5x = 70.
- There are 10 5 rupee coins and 10 2 rupee coins.
Explanation:
Let the number of coins of ₹ 5 = x
Then, the number of coins of ₹ 2 = x
a. Number of coins of ₹ 5 = x
So, the worth of ₹ 5 of x coins = ₹ 5x
b. Similarly, the worth of 12 of x coins = ₹ 2x
c. As per the condition given in the question, If 5 and 2 rupee coins are equal in number and their worth is ₹ 70.
So, the equation is 5x + 2x = ₹ 70.
d. Consider the equation,
5x + 2x = 70
7x = 70
x = 70/7
x = 10
There are 10 ₹ 5 coins and 10 ₹ 2 coins.
APPEARS IN
RELATED QUESTIONS
If p = −2, q = −1 and r = 3, find the value of p2 + q2 − r2
Write the coefficient of a in 6ab
Write the constant term of \[z^3 - 2 z^2 + z - \frac{8}{3}\]
Add
2x2 − 8xy + 7y2 − 8xy2, 2xy2 + 6xy − y2 + 3x2, 4y2 − xy − x2 + xy2
Add
x3 + y3 − z3 + 3xyz, − x3 + y3 + z3 − 6xyz, x3 − y3 − z3 − 8xyz
Subtract:
−xy from 6xy
6 times q is subtracted from the smallest two digit number.
Kartik is n years old. His father is 7n years old.
The maximum temperature on a day in Delhi was p°C. The minimum temperature was (p – 10)°C.
Make up as many expressions with numbers (no variables) as you can from three numbers 5, 7 and 8. Every number should be used not more than once. Use only addition, subtraction and multiplication.
(Hint: Three possible expressions are 5 + (8 − 7), 5 − (8 − 7), (5 × 8) + 7; make the other expressions.)
