Question

Andrea and Damian are collecting clothing items to donate. When they begin tracking their progress, Damian already has 5 items collected. Damian's goal is to collect 3 items per day, and Andrea's goal is to collect 4 items per day.

Answer 1

Answer:

5 days

Step-by-step explanation:

Given

Damian

$Base\ Items = 5$

$Rate = 3$ daily

Andrea

$Rate =4$ daily

Required [Missing from the question]

How long will they get the same number of items

Represent the number of items with x and the days with y.

So:

For Damian

$y = Base\ Items + Rate * x$

$y = 5 + 3 * x$

$y = 5 + 3 x$

For Andrea

$y = Rate * x$

$y = 4* x$

$y = 4x$

Equate both expressions.

$4x = 5 + 3x$

Collect like terms

$4x - 3x = 5$

$x = 5$

Hence, they will have equal amount of items after 5 days