Lyle got paid to today. He used 1/2 of his check to
pay bills. He spent 30% of what was left on new clothes, and going out to eat. while he was out, he gave $20 to a salvation army charity santa on the street corner. He put 3/4 of what was left into savings. He lent his friend $15 and had $85 left. How much did he start with?
Lyle started with $1214.29.
What you have to do is work backwards from $85 dollars and add the amounts he spent to get $1214.
good luck,
Donnie
$1,200
1200/2=600
600-30% =420
420-20=400
400-75%=100
100-15=85 he had left
To find out how much Lyle started with, we can work backwards from the final amount he had.
Let's start with the amount Lyle had left after putting 3/4 of what was left into savings. We know that he had $85 left, so let's call this amount "X".
If X is the amount Lyle had left, then we can work backwards to find the amount he had before lending his friend $15.
Before lending his friend $15, he had X + $15.
Since he lent his friend $15, we need to subtract this amount to find out how much he had before giving money to charity. Therefore, we have:
(X + $15) + $20 = X
Now, let's go back to the amount he had after spending 30% on new clothes and going out to eat. If he had X before lending his friend $15, then the amount he had left after spending 30% is:
0.7(X + $15)
But we know that this amount is $85, so we can write the equation:
0.7(X + $15) = $85
To solve this equation, we can start by dividing both sides by 0.7:
X + $15 = $85 / 0.7
Simplify the right side:
X + $15 = $121.43
Now, subtract $15 from both sides to find X:
X = $121.43 - $15
X = $106.43
Therefore, Lyle started with $106.43.