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In her will, Granny Sheldrake left 1/3 of her money to her sister Emily, 2/5 of her money to her grandson Eric, and the rest to her cat, which was to be looked after by Eric. Eric immediately spent 75% of his inheritance on a new car and put the rest in the bank. When the cat was very old, it died, and Eric got the cat’s share of Granny Sheldrake’s money. If Emily inherited £45,000, answer the following:

How much money was left to the cat?
a) £15,000
b) £25,000
c) £30,000
d) £20,000

1 Answer

2 votes

Final answer:

To find out the amount of money left to the cat, we first determine the total amount of Granny Sheldrake's money. We then calculate the amount Eric inherited and subtract the amount he put in the bank to find the cat's share. The amount left to the cat is £121,500.

Step-by-step explanation:

To find out how much money was left to the cat, we need to first determine the total amount of Granny Sheldrake's money. Let's say the total is represented by M.



Emily received 1/3 of the money, which is 1/3 of M, and it is given that she inherited £45,000. So, we have:



1/3 * M = £45,000



Multiply both sides by 3 to get:



M = £45,000 * 3 = £135,000



Next, we need to determine the amount of money Eric inherited. Eric received 2/5 of the money, which is 2/5 of M. We know that he spent 75% of his inheritance and put the rest in the bank. So, the amount he put in the bank is 25% of 2/5 of M, which is:



0.25 * 2/5 * M = 0.1M



Since we know that 0.1M is the amount Eric put in the bank, we can subtract it from the total amount M to find out the amount inherited by the cat.



M - 0.1M = 0.9M



Plugging in the value of M, we get:



0.9 * £135,000 = £121,500



Therefore, the amount of money left to the cat is £121,500.

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