Question

restaurant has 60 menu items of these menu main dishes outnumber appetizers by ratio of 4:1 how many more appetizers more would the restaurant add to make the ratio 2:1

Answer 1

Answer:12 appetizer should be added to make ratio 2: 1

Step-by-step explanation:

From given,

4x+1x=60, on solving x=12

So main dishes=4x=4*12=48

Appetizer=1x=12

To make ratio 2: 1, 12 appetizer should be added

48: (12+12) =48: 24=2: 1

Answer 2

There are 12 more appetizers would the restaurant add to make the ratio 2:1.

Step-by-step explanation:

Since we have given that

Ratio of menu main dishes to number of appetizers = 4:1

Number of menu items = 60

So, Number of main dishes = $\dfrac{4}{5}\times 60=4\times 12=48$

Number of menu items = $\dfrac{1}{5}\times 60=12$

So, Let the number of more appetizers be 'x'.

According to question, it becomes,

$\dfrac{48}{12+x}=\dfrac{2}{1}\\\\48=2(12+x)\\\\48=24+2x\\\\48-24=2x\\\\24=2x\\\\x=\dfrac{24}{2}\\\\x=12$

Hence, there are 12 more appetizers would the restaurant add to make the ratio 2:1.

# learn more:

Crispy Clover, a popular vegetarian restaurant, introduced a new menu that has 20% more dishes than the previous menu. The previous menu had D dishes

https://brainly.in/question/11117100