k0ambrleishray
contestada



Raisins sell for $3.50 per pound, and granola sells for $5.90 per pound. Terri bought some raisins and some granola. The total weight was 2.1 pounds and cost $8.79.


How many pounds of raisins and how many pounds of granola did Terri buy?

A.
0.6 pounds of raisins; 1.5 pounds of granola

B.
1.1 pounds of raisins; 1 pound of granola

C.
1 pound of raisins; 1.1 pounds of granola

D.
1.5 pounds of raisins; 0.6 pounds of granola

Respuesta :

JcAlmighty
The answer is D. 1.5 pounds of raisins; 0.6 pounds of granola

r - the weight of raisins
g - the weight of granola
The total weight was 2.1 pounds: r + g = 2.1

Raisins sell for $3.50 per pound: 3.50r
Granola sells for $5.90 per pound: 5.90g
The total cost was $8.79: 3.50r + 5.90g = 8.79

r + g = 2.1
3.50r + 5.90g = 8.79
________
r = 2.1 - g
3.50r + 5.90g = 8.79
________
3.50(2.1 - g) + 5.90g = 8.79
7.35 - 3.50g + 5.90g = 8.79
7.35 + 2.4g = 8.79
2.4g = 8.79 - 7.35
2.4g = 1.44
g = 1.44 : 2.4
g = 0.6 pounds

r = 2.1 - g = 2.1 - 0.6
r = 1.5 pounds

Otras preguntas