Peanuts sell for $2.50 per pound and dried fruit sells for $8.50 per pound. Lisa bought some peanuts and some dried fruit. The total weight was 3.0 pounds and the cost was $16.50. Let P represent the number of pounds of peanuts. Which equation represents the situation described?

A. 8.5 + 2.5(3-P) = 16.50
B. 8.5p + 3(2.5 - P) = 16.50
C. 3p + 16.50(P - 2.5)=8.50
D. 2.5p + 8.5(3 - P) = 16.50

Question

Peanuts sell for $2.50 per pound and dried fruit sells for $8.50 per pound. Lisa bought some peanuts and some dried fruit. The total weight was 3.0 pounds and the cost was $16.50. Let P represent the number of pounds of peanuts. Which equation represents the situation described?

A. 8.5 + 2.5(3-P) = 16.50
B. 8.5p + 3(2.5 - P) = 16.50
C. 3p + 16.50(P - 2.5)=8.50
D. 2.5p + 8.5(3 - P) = 16.50

zpupster · Answer

same deal except they are solving by substitution this time

P is the peanuts
p is dried fruit
we know

 P+p = 3

ok

zpupster · Answer

2.50P + 8.50p = 16.50

cost of item  x pounds of items

ok