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:
Choose 3 answers:

Answer 1

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

Explanation:

we know that

A restaurant makes a dipping sauce with

`(9)/(6)\ (mL\ hot\ sauce)/(oz\ barbecue\ sauce)`

Simplify

`1.5\ (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

`(6)/(10)\ (mL\ hot\ sauce)/(oz\ barbecue\ sauce)`

simplify

`0.6\ (mL\ hot\ sauce)/(oz\ barbecue\ sauce)`

Compare

`0.6 \\eq 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

`(3)/(2)\ (mL\ hot\ sauce)/(oz\ barbecue\ sauce)`

simplify

`1.5\ (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

`(45)/(30)\ (mL\ hot\ sauce)/(oz\ barbecue\ sauce)`

simplify

`1.5\ (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

`(24)/(18)\ (mL\ hot\ sauce)/(oz\ barbecue\ sauce)`

simplify

`1.33\ (mL\ hot\ sauce)/(oz\ barbecue\ sauce)`

Compare

`1.33 \\eq 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

`(12)/(8)\ (mL\ hot\ sauce)/(oz\ barbecue\ sauce)`

simplify

`1.5\ (mL\ hot\ sauce)/(oz\ barbecue\ sauce)`

Compare

`1.5=1.5`

therefore

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