Direction: Solve the given problems.
6. Two numbers are in the ratio of 2:3 If the bigger number is 6. what is the smallest one
_7. What number compared with 6 is the same as 36 compared to 6?
8. There are 24 red roses for every 6 roses. How many red roses are there if there
are 8 roses?
9.There are 7 children for every 2 adults in a plaza. How many adults are there,
if there are 21 children?
10.1f 12 pencils are bought for P60, how much will you pay for 25 pencils​

Ratio of two numbers = 2:3

The larger number = 6

Let the smaller number be x.

Which means :

[tex] =\tt 2 : 3 \: = \: x : 6[/tex]

[tex] = \tt \frac{2}{3} = \frac{x}{6} [/tex]

[tex] =\tt 2 \times 6 = 3 \times x[/tex]

[tex] =\tt 12 = 3x[/tex]

[tex] =\tt x = \frac{12}{3} [/tex]

[tex]\hookrightarrow\color{plum}\tt \: x = 4[/tex]

▪︎Therefore, the smaller number = 4

36 compared to 6 = [tex] \tt \frac{36}{6} [/tex]

Let the number be x.

Which means :

[tex] = \tt \frac{36}{6} = \frac{x}{3} [/tex]

[tex] =\tt \frac{36 \div 2}{6 \div 2} = \frac{x}{3} [/tex]

[tex] =\tt \frac{36}{6} = \frac{18}{3} [/tex]

▪︎Therefore, the fractional number [tex] \tt \frac{18}{3} [/tex] is equal to [tex] \tt \frac{36}{6} [/tex].

Number of Rose's for 24 red Rose's = 6

This can be written in a ratio as 24:6

Number of roses = 8

Let the number of red roses for these roses be x.

Which means :

[tex] =\tt \frac{24}{6} = \frac{x}{8} [/tex]

[tex] =\tt 24 \times 8 = 6 \times x[/tex]

[tex] =\tt 192 = 6x[/tex]

[tex] =\tt x = \frac{192}{6} [/tex]

[tex]\hookrightarrow \color{plum}\tt x = 32[/tex]

▪︎Therefore, 32 red roses are there if there are 8 roses.

Number of children for 2 adults = 7

This can be written in a ratio as 7:2

Number of children in the plaza = 21

Let the number of adults be x.

Which means :

[tex] = \tt \frac{7}{2} = \frac{21}{x} [/tex]

[tex] =\tt7 \times x = 2 \times 21 [/tex]

[tex] =\tt 7x = 42[/tex]

[tex] =\tt x = \frac{42}{7} [/tex]

[tex] \hookrightarrow \color{plum}\tt \: x = 6[/tex]

▪︎Therefore, 6 adults were there in the plaza.

Cost of 12 pencils = P60

Cost of 1 pencil :

[tex] = \tt \frac{60}{12} [/tex]

[tex] =\tt P5[/tex]

Thus, the cost of one pencil = P5

Cost of 25 pencils :

= Cost of one pencil × 25

[tex] =\tt 5 \times 25[/tex]

[tex] \color{plum}=\tt \: P \: 125[/tex]

▪︎Therefore, the cost of 25 pencils = P125

Help quick!! Plsss:))

3. Armen los siguientes prismas a partir de los que construyeron con su material recor
table. Después calculen el volumen de acuerdo con las dos formas que se indican
Prisma
Por et
en el fonda, near ty api
quen la foto da alisema cavab
en el fin de pana
tados con los de sus compañeros llegaron al misino resultado​

How would this triangle be classified?

The five members of the Traynor family each buy train tickets. During the train ride, each family member buys a boxed lunch for $6.50. If the total cost of the trip is $248.50, what is the price of each train ticket?

URGENT!!!!!! PLEASE ANSWER !!!!!!
7) Grace earns $18 per hour working as a math tutor. Write and solve an
inequality that can be used to find how many hours she must work in a week to
earn at least $378.
_6)