Question

Isabelle divided a sum of money among 4 types of investments as shown in the pie chart below. Given that $100 was invested into a savings account, what amount, to the nearest $10, did she invest in equities? savings account - 4% mutual funds - 50% certificates of deposit - x% equities - (2x + 4)%

Answer 1

Isabelle invested $800 in equities, calculated by determining the total investment amount using the known percentage and amount invested in a savings account, and then calculating the percentage allotted to equities.

Step-by-step explanation:

Isabelle's investment in equities can be determined by first finding the total amount of money she divided among the different investments. Since the savings account is 4% of the total investment and she invested $100 there, we can find the total amount by setting up a proportion: $100 is to 4% as the total amount is to 100%.

We can set up an equation: $100 / 0.04 = total amount of money. Solving this gives us $2,500 as the total amount invested. Next, we calculate the percentage invested in equities: (2x + 4)%. We know that the percentages must add up to 100%. Thus 4% (savings) + 50% (mutual funds) + x% (certificates of deposit) + (2x + 4)% (equities) = 100%.

Solving for x gives x = 14%. Substituting x into (2x + 4)% for equities gives us 32%. Therefore, the amount invested in equities is 32% of $2,500, which is $800. Rounded to the nearest $10, Isabelle invested $800 in equities.