Question

emma and carlos are gardeners who are tracking their production of tomatoes. emma starts the season with 20 tomatoes harvested, and she will harvest 6 tomatoes each week. carlos starts with 26 tomatoes and will harvest 4 tomatoes each week due to limited garden space. after how many weeks will emma have more tomatoes harvested compared to carlos?
let ( x ) represent the number of weeks emma and carlos will harvest tomatoes.
drag and drop the correct answer in each box.
the inequality that represents the situation is ( 20 + square square + square )
emma will have more tomatoes harvested than carlos after ( square ) weeks.
drag and drop options: 26, >, ( 4x ), ( 6x ), <, 4, ( 3x ), 3, 6

Explanation:

Step1: Define total tomatoes for each

Emma's total: $20 + 6x$; Carlos's total: $26 + 4x$

Step2: Set up inequality for Emma > Carlos

$20 + 6x > 26 + 4x$

Step3: Simplify the inequality

Subtract $4x$: $20 + 2x > 26$
Subtract 20: $2x > 6$
Divide by 2: $x > 3$

Answer:

The inequality that represents the situation is $20 + 6x > 26 + 4x$
Emma will have more tomatoes harvested than Carlos after $3$ weeks.