Trisha and Malia went to the mall with their mom. Trisha spent $15.60 on a pair of sunglasses. Malia spent $29.80 more than Trisha on a new handbag. Their mom spent 2.5 times as much as Malia on an espresso machine for their kitchen. How much money did their mom spend on the espresso machine?

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Trisha spent 15.60
Malia spent 15.60+29.80 = 45.40
Mom spent 2.5 * 45.40 = 113.50

To find out how much money their mom spent on the espresso machine, we need to follow the information given step by step:

1. Trisha spent $15.60 on a pair of sunglasses.
2. Malia spent $29.80 more than Trisha on a new handbag.
3. Their mom spent 2.5 times as much as Malia on an espresso machine for their kitchen.

Let's break it down:

1. Trisha spent $15.60.
2. Malia spent $29.80 more than Trisha, so her total spending is $15.60 + $29.80 = $45.40.

Now we know Malia's spending. To find out how much their mom spent on the espresso machine, we have the information that she spent 2.5 times as much as Malia. So we need to multiply Malia's spending by 2.5:

$45.40 * 2.5 = $113.50

Therefore, their mom spent $113.50 on the espresso machine.

To summarize:
- Trisha spent $15.60.
- Malia spent $45.40.
- Their mom spent $113.50 on the espresso machine.

Their mom spent $74.50 on the espresso machine.

To get this answer, we can use the following equation:
Malia's spending + Mom's spending = Total spending
$15.60 + $29.80 + Mom's spending = $74.50
Mom's spending = $74.50 - $45.40
Mom's spending = $29.10
Since Mom spent 2.5 times as much as Malia, we can multiply Malia's spending by 2.5 to get Mom's spending:
2.5 x $29.80 = $74.50
Mom's spending = $74.50
Therefore, their mom spent $74.50 on the espresso machine.