Question

Flaming BBQ Restaurant makes a dipping sauce with 9\text{ mL}9 mL9, space, m, L of hot sauce for every 666 ounces of barbecue sauce.
Which of the following mixtures will taste the same as Flaming BBQ's dipping sauce?

Choose 3 answers:

Answer 1

Answer:

3 mL of hot sauce mixed with 2 ounces of barbecue sauce

45 mL of hot sauce mixed with 30 ounces of barbecue sauce

12 mL of hot sauce mixed with 8 ounces of barbecue sauce

Step-by-step explanation:

we know that

A restaurant makes a dipping sauce with

$\frac{9}{6}\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

Simplify

$1.5\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

Verify each case

case A) we have

6 mL of hot sauce mixed with 10 ounces of barbecue sauce

so

$\frac{6}{10}\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

simplify

$0.6\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

Compare

$0.6 \neq 1.5$

therefore

This mixture is not the same that as Flaming BBQ's dipping sauce

case B) we have

3 mL of hot sauce mixed with 2 ounces of barbecue sauce

so

$\frac{3}{2}\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

simplify

$1.5\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

Compare

$1.5 =1.5$

therefore

This mixture is the same that as Flaming BBQ's dipping sauce

case C) we have

45 mL of hot sauce mixed with 30 ounces of barbecue sauce

so

$\frac{45}{30}\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

simplify

$1.5\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

Compare

$1.5=1.5$

therefore

This mixture is the same that as Flaming BBQ's dipping sauce

case D) we have

24 mL of hot sauce mixed with 18 ounces of barbecue sauce

so

$\frac{24}{18}\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

simplify

$1.33\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

Compare

$1.33 \neq 1.5$

therefore

This mixture is not the same that as Flaming BBQ's dipping sauce

case E) we have

12 mL of hot sauce mixed with 8 ounces of barbecue sauce

so

$\frac{12}{8}\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

simplify

$1.5\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

Compare

$1.5=1.5$

therefore

This mixture is the same that as Flaming BBQ's dipping sauce