As part of a chemistry experiment, Barry is making a mixture of two solutions. He uses 4 cups of solution A for every 2 cups of solution B. The table below shows the number of cups he uses of solution A and solution B.

Solution A
(cups) Solution B
(cups)
4 2
8 4
12 6
16 8

Using the information from the table, choose the correct statement.
A.
The ratio of the number of cups of solution A to the total number of cups of the mixture is 2:3.
B.
There are 3 cups of solution A for every 6 cups of the mixture.
C.
For each cup of solution A, there are 2 cups of solution B.
D.
The ratio of the number of cups of solution A to the total number of cups of the mixture is 3:2.

C. For each cup of solution A, there are 2 cups of solution B.

Jane bought 4 paintbrushes for $7.

Using the picture shown, find the ratios that represent the situation.

The ratio of paintbrushes to dollars is 7 to 4.
The ratio of dollars to paintbrushes is 7:4.
The ratio of dollars to paintbrushes is 7:11.
The ratio of paintbrushes to dollars is 4 to 7.
The ratio of paintbrushes to dollars is 4:7.
The ratio of dollars to paintbrushes is 4 to 11

The ratio of dollars to paintbrushes is 7:4.

There are 60 colas and 30 lemon-lime sodas in the cooler. What is the ratio of colas to lemon-lime sodas?

The ratio of colas to lemon-lime sodas is 2:1. (There are twice as many colas as lemon-lime sodas.)

Consider the two patterns described below.

A[Add 2] starting: 0
B[Add 4] starting: 0

The corresponding terms in pattern A are
times the corresponding terms in pattern B.

2 times.

The corresponding terms in A are:

0, 2, 4, 6, ...

The corresponding terms in B are:

0, 4, 8, 12, ...

Each term in pattern A is twice the corresponding term in pattern B.

Consider the two patterns described below.

Pattern Rule Starting
Number
E Add 4 0
F Add 12 0

Which of the following sentences describes the relationship between the corresponding terms in the two patterns?
A.
The terms in pattern F are 3 times the size of the corresponding terms in pattern E.

B.
The terms in pattern F are 3 times smaller than the corresponding terms in pattern E.

C.
The terms in pattern F are 8 more than the corresponding terms in pattern E.

D.
The terms in pattern F are 8 less than the corresponding terms in pattern E.

A. The terms in pattern F are 3 times the size of the corresponding terms in pattern E.

The corresponding terms in E are:

0, 4, 8, 12, ...

The corresponding terms in F are:

0, 12, 24, 36, ...

Each term in pattern F is 3 times the corresponding term in pattern E.

Consider the two patterns described below.

Pattern Rule Starting
Number
K Add 18 0
L Add 9 0

Which of the following sentences describes the relationship between the corresponding terms in the two patterns?
A.
The terms in pattern L are 9 more than the corresponding terms in pattern K.

B.
The terms in pattern L are 9 less than the corresponding terms in pattern K.

C.
The terms in pattern L are 2 times the size of the corresponding terms in pattern K.

D.
The terms in pattern L are 2 times smaller than the corresponding terms in pattern K.