SOLUTION: Three times the first number plus the second number is 88. The first number times 10 is equal to 4 times the second.What is the unknown number?
Question 260348: Three times the first number plus the second number is 88. The first number times 10 is equal to 4 times the second.What is the unknown number? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Let x = the 1st number
let y = the 2nd number
:
Write an equation for each statement:
:
Three times the first number plus the second number is 88.
3x + y = 88
y = (88-3x); use for substitution
:
The first number times 10 is equal to 4 times the second.
10x = 4y
Replace y with (88-3x)
10x = 4(88-3x)
10x = 352 - 12x
10x + 12x = 352
22x = 352
x =
x = 16 is the unknown number
;
:
Check solution:
y = 88 - 3(16)
y = 88 - 48
y = 40
"The first number times 10 is equal to 4 times the second."
10(16) = 4(40)
160 = 160
