Set 4

Toko Maju receives shipments of cooking oil from three suppliers for resale with the following schedule:

On April $1$, $2023$, the shop received shipments of oil brands $A$, $B$, and $C$ simultaneously for the first time.

Starting from May $1$, $2023$, the volume of oil brand $A$ is increased to $15$ liters per shipment.

What is the difference in the volume of oil brand $A$ received by Toko Maju in May compared to April?

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

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...

A table listing cooking oil prices in supermarkets is presented below. Due to the end of the month, all supermarkets are applying discounts of varying amounts.

What is the price difference of "Minyak mu" at Indoapril and Betamidi after the discount applies?

A rectangular prism (cuboid) $ABCD.EFGH$ has a length that is twice its width. Its height is equal to its width. The length of $DF$ is $9$ cm.

Then the width of the prism is...

A rectangular prism (cuboid) $ABCD.EFGH$ has a length that is twice its width. Its height is equal to its width. The length of $DF$ is $9$ cm. The area of plane $ADFG$ is...

Bima works as a private employee. Every year, he receives a Religious Holiday Allowance (THR) from his company. In the first year, he is given a THR of $10\%$ of his monthly salary. In the second year, the THR given is twice the amount of the first year's THR. In the third year, the THR is twice the amount of the second year's THR, and so on following this pattern.

If in $2023$ Bima receives a salary of $Rp3.000.000,00$ per month, what is the total amount of THR Bima receives after working for $5$ years?

For $5$ weeks, Yanuar trains for the civil service selection. Every week, he must run a distance $2$ times further than the previous week.

If the distance covered by Yanuar in the $3\text{rd}$ week is $4\text{ km}$, what is the total distance covered by Yanuar during the $5$ weeks of training?

A plot of land is sold for $Rp10.000.000,00$ per square meter. As we know, land prices increase every year. Assume the increase is constant at $Rp1.200.000,00$ per year.

Then, in a period of $5$ years, the price of the land will become ... per square meter.

A wire has a length of $20\text{ m}$. It will be used to make a chicken coop. For the area to be maximum, the length and width of the wire must be ... respectively.

Five married couples go to a wedding party using $2$ cars. Each car has a capacity of $6$ passengers. If each couple must ride in the same car, the number of ways to arrange the passengers in both cars is....

A class consists of $10$ male students and $20$ female students. Half of the male students and half of the female students wear watches. If one student is selected, the probability that the selected student wears a watch is....

Mr. Bendot is an employee with a net salary in April of Rp$4,800,000.00$. $10\%$ of his salary is allocated for his children's school allowance for a month. Mr. Bendot's family has $3$ children: $A$, $B$, and $C$. All three are still in school and receive an allowance each time they go to school. The proportion of the allowance for the three children is $4 : 3 : x$. If $A$ receives an allowance of Rp$4,000.00$, then the value of $x$ is.... (assume $6$ days off in a month)

Car A and Car B are on a straight track, separated by $85$ meters. Car A starts from its initial position with a constant speed of $10$ m/s to the east, while Car B starts from its initial position with a constant speed of $7$ m/s to the west. They will pass each other after ... seconds.

A and B can complete a job in $12$ days. A and C can do it in $15$ days, while B and C can do it in $20$ days. The time required for A, B, and C to complete the job if they work together is ....

Two cars travel a distance of $450$ km. The speed of the second car is $15$ km/h faster than the speed of the first car. If the travel time of the second car is $1$ hour shorter than the travel time of the first car, then the average of the speeds of the two cars is ....

The average Chemistry test score of a group of students is $59$. Four students from another group have an average of $70$. If the combined average score is $60$, then the number of students before being combined with the four new students is ....

A dataset has a mean of $16$ and a range of $6$. If every value in the data is multiplied by $p$ and then subtracted by $q$, a new dataset is obtained with a mean of $20$ and a range of $9$. The value of $2p + q$ is ....

A fishing boat moves from an initial position towards a pier for a distance of $2\text{ km}$. An observer on the boat sees the top of a hill with an elevation angle of $37^\circ$. The line-of-sight distance from the observer to the hilltop at the initial position is $12\text{ km}$. After the boat arrives at the pier, the elevation angle becomes $53^\circ$. What is the height of the hill?

Given:

Ship $A$ stops in the middle of the sea. The captain sees two other ships that also stop. Ship $C$ is aligned with ship $A$, while ship $B$ is perpendicular to $AC$. If the distance from ship $B$ to ship $C$ is $500\text{ meter}$ and the included angle between $AC$ and $BC$ is $60^\circ$, then the distance from ship $A$ to ship $B$ is ....

At a store, Jeno buys $4$ items of $x$ and $2$ items of $y$ for $\text{Rp }4,000.00$. Jimin buys $10$ items of $x$ and $4$ items of $y$ for $\text{Rp }9,500.00$. If Japri wants to buy one item of $x$ and one item of $y$, how much should be paid?