Question #6018c

2 Answers
Dec 12, 2017

#356 - 293 = 63# , or "6 tens and 3 ones".

#49 xx 10 + 82 xx 1 - (12 xx 10 + 96 xx 1) - (6 xx 10 + 3 xx 1) = 293#

Explanation:

Using the place descriptions, the equation is:

#49 xx 10 + 82 xx 1 - (12 xx 10 + 96 xx 1) = 293#

#490 + 82 - (120 + 96) = 293#
#572 - 216 = 293#
#356 = 293# SO the "missing factor" on the other side must be

#356 - 293 = 63# , or "6 tens and 3 ones".

#49 xx 10 + 82 xx 1 - (12 xx 10 + 96 xx 1) - (6 xx 10 + 3 xx 1) = 293#

Dec 12, 2017

The value of #x# is #63#
You can express this amount as "6 tens 3 ones."

Explanation:

I think the question has a typo where the #x#'s didn't show up.

I think the question should be:
If 49 tens 82 ones - 12 tens 96 ones = #x# + 293, then find the value of #x#

This question implies that "293" is too small, and it wants to know how much you'd need to add to make the answer correct.

Here is a good way to solve this problem.

1) For your own convenience, turn the bills into a sum of money.

49 tens  = $490
82 ones = $   82
......................................
Total . . . . . $572

12 tens  = $120
96 ones = $   96
.....................................
Total. . . . . .$216

Now you can write the question like this:
[49 tens 82 ones] #-# [12 tens 96 ones] #=# #x# + 293
[ . . . . . 572 . . . . . ] #-# [ . . . . . 216 . . . . . ] #=# #x# + 293

#572 - 216 = x + 293#
Solve for #x#

1) Combine like terms by doing the subtraction
#356 = x + 293#

2) Subtract 293 from both sides to isolate #x#
#63 = x larr# answer

Answer:
The value of #x# is #63#

Check:
#572 - 216# . . #=# . . . #63 + 293?#
. . . . #356# . . . . .#=# . . . . .#356#
#Check!#