Question

Tom owns a landscaping business. He charges $40 for a yard cleanup, $50 to mow a lawn, and $75 to mulch a yard. On average, it takes Tom 25 minutes for a yard cleanup, 40 minutes to mow a lawn, and 2 hours to mulch a yard. Tom's clients are Mr. Hansen, Ms. Martinez, and Mrs. Johnson. . Mr. Hansen paid $125 for lawn services this week. . Tom spent more than an hour at Ms. Martinez' house this week. • Mrs. Johnson wrote Tom a check for $165 for the week. Tom made $405 from his three clients this week.

Answer 1

Answer:

Ms. Martinez =  Tom received $115, $75 to mulch the yard and $40 for a yard cleanup.

Step-by-step explanation:

Tom made $405 for the week from his three clients

Mr. Hansen paid Tom $125

Mrs. Johnson paid Tom $165

405-165-125=115

Ms. Martinez paid Tom $115, which meant that he would have cleaned the yard ($40) and mulch the yard ($75)

Answer 2

The unit amount and time for each service offered by Tom can be represented as equations. The conclusion from the given parameters are:

• Mr. Hansen paid $125 to mow a lawn and to mulch a yard.
• Mrs. Johnson paid $165 for the three services
• Ms. Martinez paid $115 for a yard cleanup and to mulch a yard.

Given that:

Cost

$\ 40 \to$ Yard cleanup

$\ 50 \to$ Mowing a lawn

$\ 75 \to$ Mulching a yard

Time

$2\ hrs \to$ Yard cleanup

$40\ mins \to$ Mow a lawn

$2\ hrs \to$ Mulching a yard

$Total\ Earnings = \ 405$

From the question, we understand that:

$Mr.\ Hansen = \ 125$

Recall that:

$\ 50 \to$ Mowing a lawn

$\ 75 \to$ Mulching a yard

Add up:

$\ 50 + \ 75 = 125$

This means that Mr. Hansen paid $125 to mow a lawn and to mulch a yard.

$Mrs.\ Johnson= \ 165$

Recall that:

$\ 40 \to$ Yard cleanup

$\ 50 \to$ Mowing a lawn

$\ 75 \to$ Mulching a yard

Add up:

$\ 40 + \ 50 + \ 75 =\ 165$

This means that Mrs. Johnson paid $165 for the three services

The amount paid by Ms. Martinez is calculated as follows:

$Mr.\ Hansen + Mrs.\ Johnson + Ms.\ Martinez = Total\ Earnings$

Substitute known values

$\ 125 + \ 165 + Ms.\ Martinez = \ 405$

$\ 290 + Ms.\ Martinez = \ 405$

Collect like terms

$Ms.\ Martinez = \ 405 - \ 290$

$Ms.\ Martinez = \ 115$

This means that Ms. Martinez paid $115

Recall that:

$\ 40 \to$ Yard cleanup

$\ 75 \to$ Mulching a yard

Add up

$\ 40 +\ 75 = \ 115$

This means that Ms. Martinez paid $115 for a yard cleanup and to mulch a yard.

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