Dina wants to make 15 3/4 cups of strawberry drink by mixing water and strawberry syrup with a ratio of 2 1/4 cup of water for every 3/4 cup of syrup. how much water and syrup will she need ro use?

The water she need is and strawberry syrup .

Step-by-step explanation:

Given:

Dina wants to make 15 3/4 cups of strawberry drink by mixing water and strawberry syrup with a ratio of 2 1/4 cup of water for every 3/4 cup of syrup.

Now, to find the quantity of water and syrup she need to use.

As given in question ratio so:

Strawberry syrup = 2 1/4 = 9/4.

Water = 3/4.

Total cups of strawberry drink = 15 3/4 = 63/4.

Let the strawberry syrup be .

And let the water be .

According to question:

.

On adding the fractions:

⇒

⇒

Multiplying both sides by 4 we get:

⇒

Dividing both sides by 12 we get:

⇒

Dividing numerator and denominator by 3 on R.H.S we get:

⇒

Now, putting the value of on ratios:

Strawberry syrup =  

                             =  

                             =    

Water =

          =

          =

Therefore, the water she need is and strawberry syrup .

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt