The two figures are congruent. Find the values of the unknown variables.
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Answer:
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:
.
<em>On adding the fractions:</em>
⇒
⇒
<em>Multiplying both sides by 4 we get:</em>
⇒
<em>Dividing both sides by 12 we get:</em>
⇒
<em>Dividing numerator and denominator by 3 on R.H.S we get:</em>
⇒
Now, putting the value of on ratios:
Strawberry syrup =
=
=
Water =
=
=
Therefore, the water she need is and strawberry syrup
.