cash register contains only five dollar and ten dollar bills. It contains twice as many five's as ten's and the total amount of money in the cash register is 700 dollars. How many ten's are in the cash register? Will medal

Question

cash register contains only five dollar and ten dollar bills. It contains twice as many five's as ten's and the total amount of money in the cash register is 700 dollars. How many ten's are in the cash register?   Will medal

brooke..help00 · Answer

2X*5+X*10=680 
 Multiply 2X by 5 to get 10X.
 10X+X*10=680 
 Multiply X by 10 to get 10X.
 10X+10X=680 
 Since 10X and 10X are like terms, add 10X to 10X to get 20X.
 20X=680 
 Divide each term in the equation by 20.
 (20X)/(20)=(680)/(20) 

 

 
 Simplify the left-hand side of the equation by canceling the common factors.
 X=(680)/(20) 
 Simplify the right-hand side of the equation by simplifying each term.
 X=34 tens
 68 fives 

 Prove: 
 34*10= 340
 68*5= 340
 340+340=680

sissyedgar · Answer

There would be 35 tens because...
There is a total of $700.
700 / 2 = 350
350 / 10 = 35
We already know that 5 * 2 = 10... So whatever the amount of $10 bills is, you just times it by 2 and you have the amount of fives. 35 * 2 = 70.