Mrs. Lim bought some almonds and pistachios. She used an equal amount of almonds and pistachios. She had 1/3 of the almonds and 4/7 of the pistachios left. What was the ratio of the nuts used by Mrs lim to the nuts that were left?​

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Answer:

the ratio of the nuts used by Mrs. Lim to the nuts that were left is 14:9, or simplified as 14/9.

Step-by-step explanation:

The ratio of the nuts used by Mrs. Lim to the nuts that were left can be determined by comparing the fractions of almonds and pistachios that she had left after using an equal amount of each.

Given that Mrs. Lim used an equal amount of almonds and pistachios, we can assume that the fractions representing the amount of each nut used are the same. Let's say the fraction representing the amount of almonds and pistachios used is x.

We are told that Mrs. Lim had 1/3 of the almonds left and 4/7 of the pistachios left. This means that she used 2/3 of the almonds (1 - 1/3 = 2/3) and 3/7 of the pistachios (1 - 4/7 = 3/7).

To find the ratio, we can compare the amount of nuts used to the amount of nuts left. Since the amount of almonds used is the same as the amount of pistachios used (both are represented by x), and the amount of almonds left is 2/3, while the amount of pistachios left is 3/7, the ratio would be:

(x used / x left) = (2/3) / (3/7)

To simplify the ratio, we can multiply both the numerator and the denominator by the least common multiple of 3 and 7, which is 21:

(2/3) * (21/21) / (3/7) * (21/21) = 14/9

Therefore, the ratio of the nuts used by Mrs. Lim to the nuts that were left is 14:9, or simplified as 14/9.

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