Answer:
Peter spend 102 on the pair of skate.
Step-by-step explanation:
Let's call X the money that peter spent to buy a pair of skates and Y the money that he had initially
So, we can write equation 1 as:
X = (3/8)Y
Because PETER SPENT 3/8 OF HIS MONEY TO BUY A PAIR OF SKATES. It means that the money that Peter spent is equal to 3/8 of the money that he had initially.
At the same way, we can write equation 2 as:
X = (Y-X) - 68
Where (Y-X) is the amount that he left. So, THE AMOUNT HE SPENT WAS 68 LESS THAN THE AMOUNT HE LEFT.
Then, replacing equation 1 in equation 2 and solving for y, we get:
X = (Y-X) - 68
(3/8)Y = Y - (3/8)Y - 68
(3/8)Y - Y + (3/8)Y = - 68
(-1/4)Y = -68
Y = 68*4 =272
Finally, replacing the value of Y by 256 in equation 1, we get:
X = (3/8)Y
X = (3/8)(272)
X = 102
Therefore, Peter spend 102 on the pair of skate.
