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For a smoothie, Isaac needs 3 quarts of strawberry puree, which is sold in bottles of 1 pint and bottles of 1 cup. He already had 1.75 quarts of puree. If he wants to buy exactly three bottles in total, how many of each bottle should he buy?

Respuesta :

isaacholton7
Okay, so first let's look at the conversion factors of these units: 1 quart=2 pints & 1 quart= 4 cups. Alright well, we already have 1.75 out of 3 quarts of the strawberry puree so all we need left is 1.25 quarts left. So since 1 pint= .5 quarts and 1 cup=.25 quarts we need to buy 2 pints and 1 cup to give us our three quarts.

Answer: There are 2 bottle of 1 pint and 1 bottle of 1 cup.

Step-by-step explanation:

Let the number of bottles of 1 pint be 'x'

Let the number of bottles of  1 cup be 'y'.

As we know that

[tex]1\ pint=0.5\ quarts\\\\1\ cup=0.25\ quarts[/tex]

According to question,

[tex]x+y=3-----(1)\\\\0.5x+0.25y=3-1.75=1.25\\\\x+0.5y=2.5---------(2)[/tex]

From Equation (1), we get that

[tex]x=3-y[/tex]

Put it in the equation (2),

[tex]x+0.5y=2.5\\\\3-y+0.5y=2.5\\\\3-0.5y=2.5\\\\-0.5y=2.5-3=0.5\\\\y=1[/tex]

and the value of x will be

[tex]x=3-y=3-1=2[/tex]

Hence, there are 2 bottle of 1 pint and 1 bottle of 1 cup.