Question 2/20: Set 4 - Try Out - Mathematical Reasoning (SNBT)

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Kirans Craft is a brand that sells various types of bouquets. Below is the price list of the bouquets sold:

Bouquet Type	Price
Large Flower	Rp $160.000,00$
Small Flower	Rp $90.000,00$
Money Bouquet	Rp $130.000,00$
Snack	Rp $70.000,00$

A consumer wants to buy $4$ bouquets with a total budget of Rp $400.000,00$ . The consumer is required to buy at least $1$ snack bouquet.

The correct combination of bouquet purchases so that the entire budget is spent is...

$1$ snack bouquet and $2$ money bouquets

$2$ snack bouquets and $2$ money bouquets

$1$ large flower and $2$ money bouquets

$1$ large flower and $2$ snack bouquets

$1$ small flower and $2$ snack bouquets

Explanation

First, let's identify the problem constraints:

Total budget: Rp $400.000,00$ .
Total items: $4$ bouquets.
Mandatory purchase: At least $1$ Snack Bouquet (Rp $70.000,00$ ).

The first step is to subtract the price of the mandatory item from the total budget to find the remaining funds.

\text{Remaining Budget} = \text{Total Budget} - \text{Price of Snack}

\text{Remaining Budget} = 400.000 - 70.000 = 330.000

Now we have a remaining budget of Rp $330.000,00$ to buy $3$ more bouquets (since the desired total is $4$ items, and $1$ is already accounted for).

Let's check possible combinations to spend Rp $330.000,00$ on $3$ items. Looking at the price list, a Money Bouquet costs Rp $130.000,00$ .

If we buy $2$ Money Bouquets:

2 \times 130.000 = 260.000

The remaining money after buying 2 Money Bouquets is:

330.000 - 260.000 = 70.000

This remaining Rp $70.000,00$ is exactly enough to buy $1$ more Snack Bouquet.

So, the breakdown of our total purchase is:

Item	Quantity	Unit Price	Total Price
Snack Bouquet (Mandatory)	$1$	Rp $70.000$	Rp $70.000$
Money Bouquet	$2$	Rp $130.000$	Rp $260.000$
Snack Bouquet (Additional)	$1$	Rp $70.000$	Rp $70.000$
Total	$4$		Rp $400.000$

The total items purchased are:

(1 \text{ Mandatory Snack} + 1 \text{ Additional Snack}) + 2 \text{ Money}

= 2 \text{ Snack Bouquets} + 2 \text{ Money Bouquets}

This combination fits both the budget and the item count requirement.

Command Palette

Number 2

Explanation