Answer:
21 pencils for Nick and 63 pencils for Lance
Step-by-step explanation:
- Lance is said to have 3 times the pencils Nick has.
- Let's keep the number of pencils Nick has as x.
- If Nick has x pencils that means Lance has 3x pencils.
- The total number of pencils present is 84.
Now let's make an equation out of the information above:
3x + x = 84
Now solve for x.
3x + x = 84
4x = 84
x = 84/4
x = 21
So Nick has 21 pencils
Now for Lance:
3x
3 * (21) = 63
So Lance has 63 pencils
63 + 21 = 84 pencils
Well, the quotient must be bigger/smaller
lets say the numbers are x and y
x>y
so
x-y=30 and x/y=6
multiply both sides by y in 2nd equation
x=6y
subsitute 6y for x in other equation
6y-y=30
5y=30
divide by 5
y=6
sub back
x=6y
x=6(6)
x=36
the numbers are 36 and 6
but they could also be -36 and -6 because -36/-6=6 and -6-(-36)=30
the 2 numbers are 36 and 6 or -36 and -6
The reciprocal of 5/6 is 6/5 because the reciprocal is the numbers flipped around. For an example -5 thr reciprocal will be +5
the ladder leaning against the wall has slope 3
