Question

There were 24¼ (24 1/4 ) crates of tomatoes in the barn but 7⅗ (7 3/5 ) crates of tomatoes were rotten and had to be thrown out. Joe sold 8 ⅓ (8 1/3 ) crates and canned 7 ⅚ (7 5/6 ) crates of tomatoes. How many crates of tomatoes were left?

Answer 1

Given:

There were 24¼ (24 1/4 ) crates of tomatoes in the barn but 7⅗ (7 3/5 ) crates of tomatoes were rotten and had to be thrown out.

Joe sold 8 ⅓ (8 1/3 ) crates and canned 7 ⅚ (7 5/6 ) crates of tomatoes.

To find:

How many crates of tomatoes were left?

Solution:

The total crates of tomatoes in the barn = 24¼ = $\frac{97}{4}$

The crates of rotten tomatoes = 7⅗ = $\frac{38}{5}$

∴ After throwing the rotten tomatoes, the crates of tomatoes left are,

= $\frac{97}{4} - \frac{38}{5}$

= $\frac{485 - 152}{20}$

= $\frac{333}{20}$

The crates of tomatoes that were sold = 8 ⅓ = $\frac{25}{3}$

The crates of tomatoes that were canned = 7 ⅚ = $\frac{47}{6}$

Now,

After few of the crates were sold and few were canned, the crates of tomatoes left were,

= $\frac{333}{20} - [\frac{25}{3} + \frac{47}{6} ]$

= $\frac{333}{20} - \frac{25}{3} - \frac{47}{6}$

= $\frac{999 - 500 - 470}{60}$

= $\bold{\frac{29}{60} }$

Thus, $\underline{\bold{\frac{29}{60} }}$ crates of tomatoes were left.

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