Question

if the sentence is true, write true. if it is false, replace the underlined word(s) to make it true.

1. a negative number is greater than zero.
2. the counting unit indicates the number of times a digit is used.
3. the lcm of 6 and 8 is 2.
4. to reduce a fraction, divide both the numerator and the denominator by their gcf.
5. absolute value means the distance from zero.
6. the answer to an addition problem is the difference.
7. a natural number with a negative exponent is a fraction.

homework 1.7 (work problems)
express each relationship using a ratio.

1. a barbecue restaurant manager ordered 120 pounds of chicken and 180 pounds of pork. what is the ratio of

(a) chicken to pork
(b) pork to chicken
(c) chicken to total pounds

Explanation:

Step1: Recall ratio definition

A ratio is a comparison of two or more quantities.

Step2: Calculate ratio of chicken to pork

The amount of chicken is 120 pounds and pork is 180 pounds. The ratio of chicken to pork is $\frac{120}{180}=\frac{2}{3}$, so the ratio is $2:3$.

Step3: Calculate ratio of pork to chicken

The ratio of pork to chicken is $\frac{180}{120}=\frac{3}{2}$, so the ratio is $3:2$.

Step4: Calculate total pounds

The total pounds of meat is $120 + 180=300$ pounds.

Step5: Calculate ratio of chicken to total pounds

The ratio of chicken to total pounds is $\frac{120}{300}=\frac{2}{5}$, so the ratio is $2:5$.

Answer:

(a) $2:3$
(b) $3:2$
(c) $2:5$