Josie spent 4/7 of the money in her purse on some books, and the rest of the money on 18 markers. Each marker cost $1.20. How much money was in Josie's purse to begin with?
Mathematics · Middle School · Mon Jan 18 2021
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Given the statement:
Josie spent 4/7 of the money in her purse on some books, and the rest of the money on 18 markers. Each marker cost $1.20.
Determine how much money was in Josie's purse.
Solution:
To do so, we multiply first 1.20 by 18 to determine the total cost of the marker.
= (18)($1.20)
= $21.6
Now we need to divide 21.6 by 3/7, which is the remaining money of Josie, since she already spent 4/7. Note that when dividing with a fraction, we instead take the reciprocal of the fraction and then multiply it to the whole number. In our case, the reciprocal of 3/7 is 7/3 therefore we multiply 7/3 to 21.6.
= (21.6)(7/3)
= $50.4
Final answer:
Josie's total money is $50.4.