SOLUTION: This is by elimination of solving linear systems The sum of two numbers is 90. The larger number is 14 more than 3 times the smaller number. 2.The CSQC art club sold gift wra

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: This is by elimination of solving linear systems The sum of two numbers is 90. The larger number is 14 more than 3 times the smaller number. 2.The CSQC art club sold gift wra      Log On


   

Question 987569: This is by elimination of solving linear systems
The sum of two numbers is 90. The larger number is 14 more than 3 times the smaller number.
2.The CSQC art club sold gift wrap to earn money for a trip to boracay. the goft wrap in solid for Php 40.00 per roll, and the print gift wrap sold Php 60.00. The total number of rolls sold was 480, and the total money collected was Php 2340. How many rolls of each kind pf gift wrap were sold.
NOTE:(PHP are pesos AND THIS 2 QUESTIONS ARE SEPARATED FROM EACH OTHER)
PLEASE GIVE ME ANSWERS THANK YOU SO MUCH
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
Hello,
I will help you with the first problem.

Let  x  be the smaller number.
The the other number is  3x + 14.  We know that their sum is  90.  It gives an equation

x + (3x + 14) = 90.

Solve it step by step:

x + 3x + 14 = 90,

4x = 90 - 14,

4x = 76,

x = 76%2F4 = 19.   It is the smaller number.

The other number is   90 - 19 = 71.

(it is really in  14  more than  3x:   3*19 + 14 = 57 +14 = 71).