Three people invested $1200 in a joint savings account. After Dylan's investment of 2/5 of the total amount, Frances invested 2/3 of the remaining amount. Skyler's investment accounted for the rest. How much money was Skyler's investment?
Answer: Skyler's investment was $160.
Step-by-step solution
Step 1: Calculate Dylan's Investment
First, we need to find out how much Dylan invested. Dylan invested of the total amount, which is $1200. We multiply the fraction by the total amount to get Dylan's share.
Step 2: Calculate Remaining Amount after Dylan's Investment
After Dylan's investment, we calculate the remaining amount. This is done by subtracting Dylan's investment from the total initial amount.
Step 3: Calculate Frances's Investment
Next, we calculate Frances's investment. Frances invested of the amount that remained after Dylan's contribution. We multiply this fraction by the remaining amount.
Step 4: Calculate Skyler's Investment
Finally, Skyler's investment is the rest of the money. We find this by subtracting Frances's investment from the amount that was remaining before Frances invested.
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