Question

The district pays $7.50 for a 25-pound box of mixed salad greens and $4.50 for a 10-pound box of cherry tomatoes. during the first week of the program, the school district buys 45 boxes of salad greens and tomatoes at a total cost of $283.50. how many boxes of salad greens and how many boxes of tomatoes did the district purchase?

Answer 1

Boxes of salad greens: 27

Boxes of tomatoes; 18

Step-by-step explanation:

g + t = 45 Eq. 1

7.5 g + 4.5 t = 283.5 Eq. 2

g = boxes of mixed salad greens

t = boxes of cherry tomatoes

From Eq. 1:

t = 45 - g Eq. 3

Replacing Eq. 3 in Eq, 2:

7.5g + 4.5(45-g) = 283.5

7.5g + (4.5*45 + 4.5*-g) = 283.5

7.5g + (202.5 - 4.5g) = 283.5

7,5g - 4.5g = 283.5 - 202.5

3g = 81

g = 81/3

g = 27

From Eq. 3:

t = 45 - 27

t = 18

Check:

From Eq. 2:

7,5g + 4.5t = 283,5

7.5*27 + 4.5*18 = 283.5

202.5 + 81 = 283.5