Answer these questions step by step
Answers
6. let the number be x.
➡ x × 3/5 = x × 2/7 + 44
➡ 3x/5 = 2x/7 + 44
➡ 3x/5 - 2x/7 = 44
LCM of 5 and 7 = 5 × 7 = 35
➡ (3x × 7)/(5 × 7) - (2x × 5)/(7 × 5) = 44
➡ 21x/35 - 10x/35 = 44
➡ 11x/35 = 44
➡ 11x = 35 × 44
➡ 11x = 1540
➡ x = 1540/11
➡ x = 140
hence, the number is 140.
7. ATQ, 3/7 of the students are girls in a school and 240 students are boys.
let the total number of students be x.
therefore 3x/7 + 240 = x
➡ 3x/7 - x = -240
➡ 3x/7 - (7 × x)/7 = -240
➡ -4x/7 = -240
➡ 4x = 240 × 7
➡ 4x = 1680
➡ x = 1680/4
➡ x = 420
total number of students in the school is 420.
hence, no. of students = 420 - 240
= 180
9. drum full of wheat weighs = 80 ¹/6 kg
= 481/6 kg
empty drum weighs = 15 ¾ kg
= 63/4 kg
therefore weight of the wheat in drum = 481/6 - 63/4
LCM of 6 and 4 = 2 × 2 × 3 = 12
= (481 × 2)/(6 × 2) - (63 × 3)/(4 × 3)
= 962/12 - 189/12
= 773/12
= 64 5/12 kg
10. 5/7 of the spectators we're in covered place.
and 6000 in open place.
let the total no. of spectators be x.
➡ 5x/7 + 6000 = x
➡ 6000 = x - 5x/7
➡ 6000 = 7x/7 - 5x/7
➡ 6000 = 2x/7
➡ 2x = 6000 × 7
➡ 2x = 42000
➡ x = 42000/2
➡ x = 21000
hence, the total number of spectators were 21000.
HEY MATE❤️
Ans-1)
PIECES OF RIBBON ARE 26/5 AND 32/10 THIS IS EQUAL TO 52/10 AND 32/10 LET THE REMAINING PIECE BE X
X+52/10+32/10=22
10X +52+32=22*10
10X+84=220
10X=136
X=13.6M
Ans-2)
In the pic☺️
Ans-3)
Given
Base=39/4m
Altitude =49/4m
Area of parallelogram = bxa
=39/4 x 49/4
=1911/16 m²
=119.44m²
Ans-4)
distance=2040 km
t(time)=1 hr
v(speed)=s(distance)/t(time)
v=2040km/h
v(speed)=2040 km/h
t(time)=31/6 hrs
v=s/t
s=v*t
s(distance)=2040*(31/6)
=10540
Ans-5)
Cost of one m of lace $63/4
therefore cost of 22/5m lace
is
$ 63/4*22/5
$69.3
Ans-6)
Then by the given question,
x×3/5=x×2/7+44
or, 3x/5-2x/7=44
or, (21x-10x)/35=44
or, 11x=44×35
or, x=(44×35)/11
or, x=4×35
or, x=140
Ans-7)
Here is your answer---
Let the number of Students in a school be x.
Thus,Number of Girls = 3/7 of the total Students
= 3/7 of x
= 3x/7
We know,
Number of Boys + Number of Girls = Total Students.
240 + 3x/7 = x
240 = x - 3x/7
240 = (7x - 3x) /7 [Taking L.C.M.]
240 × 7 = 4x
x = 60 × 7
x = 420
Total number of Students in a school is 420.
Thus, Number of Girls = 3/7 × x
= 3/7 × 420
= 90
Thus, the number of Girls in a school is 90.
______________________
Ans-9)
Weight of drum with wheat=481/6 kg
weight of drum without wheat =63/4 kg
weight of wheat=481/6-63/4
=962/12-189/12
=773/12
so weight of wheat =773/12kg
Ans-10)
2/7 is equal to 6000
so
1/7 is equal to 3000.
3000 x 7 = 21000
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