Question

a vegetable farmer fills 2/3 of a crate with 5/7 of a pound of tomatoes. how many lbs can fit in one crate​

Answer 1

`\huge\boxed{\sf 1 \ crate = (15)/(14) \ lbs}`

Explanation:

`\sf (2)/(3)\ of \ a\ crate = (5)/(7) \ of \ a\ pound \\\\We \ need \ to \ find\ the \ weight \ of \ one \ crate\\\\So, Multiplying \ both \ sides \ by \ the\ reciprocal \ of \ (2)/(3) \ i.e. (3)/(2) \\\\1 \ crate = (5)/(7) * (3)/(2) \ lbs\\\\1 \ crate = (5*3)/(7*2) \ lbs\\\\1 \ crate = (15)/(14) \ lbs`

Answer 2

1 1/14 lbs

Explanation:

We can use ratios to solve

2/3 crate 1 crate

----------------- = -----------------

5/7 lb x lbs

Using cross products

2/3x = 5/7 *1

Multiply each side by 3/2

3/2 * 2/3 x = 3/2 * 5/7

x = 15/14

x = 1 1/14