Question

A smoothie stores sell 3 strawberry smoothies and 5 banana smoothies for a total cost of 27.50 .The strawberry smoothie cost 0.50 more than the banana smoothies

Answer 1

the slope is 4

Answer 2

Cost of each banana smoothies is 3.25 and Cost of each Strawberry smoothie is 3.75.

Explanation:

Given:

Number of strawberry smoothies =3

Number of banana smoothies = 5

Total cost = 27.50

We need to find cost of strawberry cookies and cost of banana cookies.

Solution:

Let cost of each banana smoothies be 'x'.

Given:

The strawberry smoothie cost 0.50 more than the banana smoothies.

So we can say that;

Cost of each Strawberry smoothie =
`0.5+x`

Now we can say that Total cost is equal to sum of Number of strawberry smoothies multiplied by Cost of Strawberry smoothie and Number of banana smoothies multiplied by cost of banana smoothies.

framing in equation form we get;

`3(x+0.5)+5x=27.5`

Applying distributive property we get;

`3x+1.5+5x=27.5\\\\8x+1.5=27.5`

Subtracting both side by 1.5 we get;

`8x+1.5-1.5=27.5-1.5\\\\8x=26`

Dividing both side by 8 we get;

`(8x)/(8)=(26)/(8)\\\\x=3.25`

Cost of each banana smoothies = 3.25

Cost of each Strawberry smoothie =
`0.5+x=0.5+3.25=3.75`

Hence Cost of each banana smoothies is 3.25 and Cost of each Strawberry smoothie is 3.75.