there are three times as many girls as boy in a school find an expression in terms of x from the total number of students in the school where X represent the number of boys in the school in algebraic expressions
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Step-by-step explanation:
Here's what we know:
b = 3g (There are three times as many boys as girl)
b = g + 24 (there are 24 more boys than girls)
Since both equations equal b, they also equal one another:
3g = g + 24
Subtract g from both sides:
2g = 24
Divide both sides by 2:
g = 12
b = 3 * 12
b = 36
check:
36 = 12 + 24
36 = 36
p + d + h = 123 (peter + david + henry's weight is 123 kg)
p = d + 15 (peter is 15 kg heavier than David)
d = h - 3 (david is 3 kg lighter than henry)
Now that we have values for our variables, let's plug them in:
(d + 15) + (h - 3) + h = 123
(h - 3) + 15 + h - 3 + h = 123
Combine like terms:
3h + 9 = 123
Subtract 9 from both sides:
3h = 114
Divide by 3:
h = 38
d = 38 - 3
d = 35
p = 35 + 15
p = 50
check:
50 + 35 + 38 = 123
123 = 123
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