Question

Vicki bought some items from the store. The table shows the store price for these items. 1. Potato salad = $2.25 per 1 1/2 pounds 2. Ham $2.00 per 1/2 pound 3. Cheese $0.60 per 1/4 pound 4. Turkey $3.50 per pound 5. Shrimp salad $5.50 per pound. Vicki spent between $18 and $20. Which combinations could she have purchased? Select all that apply. A. 4 pounds of turkey, 1 pound of ham, and 1/2 pound of shrimp salad B. 1 1/2 pounds of cheese, 2 pounds of ham, and 1 1/2 pounds of shrimp salad C. 3 1/2 pounds of potato salad, 3/4 pound of ham, 1 pound of cheese, and 2 pounds of turkey D. 2 pounds of shrimp salad, 1/2 pound of ham, 1 pound of turkey, and 2 pounds of potato salad

Answer 1

Potato salad=$2.25/(1 1/2)=$2.25/(1+0.5)=$2.25/1.5=$1.50 per pound
Ham=$2.00/(1/2)=$2.00/0.5=$4.00 per pound
Cheese: $0.60/(1/4)=$0.60/0.25=$2.40 per pound

A. 4 pounds of turkey, 1 pound of ham, and 1/2 pound of shrimp salad
1/2=0.5
Total cost: T
T=4($3.50)+1($4.00)+0.5($5.50)=$14.00+$4.00+$2.75→T=$20.75>$20  No

B. 1 1/2 pounds of cheese, 2 pounds of ham, and 1 1/2 pounds of shrimp salad
1 1/2=1+0.5=1.5
Total cost: T
T=1.5($2.40)+2($4.00)+1.5($5.50)=$3.60+$8.00+$8.25→T=$19.85
$18.00<$19.85<$20.00    Ok


C. 3 1/2 pounds of potato salad, 3/4 pound of ham, 1 pound of cheese, and 2 pounds of turkey
3 1/2=3+0.5=3.5
3/4=0.75
Total cost: T
T=3.5($1.50)+0.75($4.00)+1($2.40)+2($3.50)=$5.25+$3.00+$2.40+$7.00→
T=$17.65
$18.00<$17.65<$20.00    Ok

D. 2 pounds of shrimp salad, 1/2 pound of ham, 1 pound of turkey, and 2 pounds of potato salad
1/2=0.5
Total cost: T
T=2($5.50)+0.5($4.00)+1($3.50)+2($1.50)=$11.00+$2.00+$3.50+$3.00→
T=$19.50
$18.00<$19.50<$20.00    Ok

Answer: She could have purchased combinations B, C, or D