Question

PLS ANSWER ASAP FIRST ONE TO DO SO GETS BRAINLIEST

Answer 1

Answer:

Carmen can make $10\frac{5}{16}$ full servings.

Step-by-step explanation:

Given : Carmen mixes $3\frac{1}{2}$ cups of water with $3\frac{3}{8}$  cups of juice to make punch.

Total quantity of punch Carmen made = total cup of water + cup of juice she mixes

Total quantity of punch Carmen made = $3\frac{1}{2}+3\frac{3}{8}$

Solving , we get,

Total quantity of punch Carmen made = $\frac{7}{2}+\frac{27}{8}$

taking LCM(2,8) = 8 , we get,

Total quantity of punch Carmen made = $\frac{28+27}{8}=\frac{55}{8}$

Also, given She pours $\frac{2}{3}$ cup servings of punch.

Thus, $\frac{2}{3}$ cup of mixture makes 1 serving cup.

Using unitary method,

In unitary method we first find the value of a single quantity and then multiply it with the desired quantity.

1 cup of mixture makes $\frac{3}{2}$ serving cup.

$\frac{55}{8}$ cup makes = $\frac{3}{2}\times\frac{55}{8}$

$\frac{55}{8}$ cup makes = $\frac{165}{16}=10\frac{5}{16}$

Thus, She can make $10\frac{5}{16}$ full servings.