Question

In Siri's coin purse, she has 6 dimes and 4 quarters. Martha has 5 dimes and 3 quarters. Siri thinks that the ratio of dimes to quarters in both purses is the same because they each have 2 more quarters than dimes. Is the same ratio of dimes to quarters maintained? Justify your response.

Answer 1

Answer:

The ratios are not equal.

Step-by-step explanation:

To justify the answer we will assume the dimes and quarters.

Let number of dimes be denoted by 'x'.

Let number of quarters denoted by 'y'.

In Siri's coin purse

Number of dimes (x) = 6

Number of quarters (y) = 4

Therefore ratio of quarter to dimes we get;

$\frac{x}{y}=\frac{6}{4}$ ⇒ equation 1.

In Martha Coin purse.

Number of dimes (x) = 5

Number of quarters (y) = 3

Therefore ratio of quarter to dimes we get;

$\frac{x}{y}=\frac{5}{3}$ ⇒ equation 2.

Now we will check if both have the same ratios.

We will check by making both equation 1 and equation 2 equal.

$\frac{6}{4}=\frac{5}{3}$

By cross multiplication we get;

$18\neq 20$

Hence the ratios are not equal.