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Jill saw three small boxes and one large box of oranges for a total cost of $29 Bethany saw three small boxes and four large boxes for a total of 71 in the cost of a small box in a large box of oranges

Respuesta :

Answer: Small box = $5

Large box = $14

Step-by-step explanation:

Let the cost of a small box be a

Let the cost of a large box be b

The scenario in the question can be modelled into an equation as:

3a + b = 29 ....... equation i

3a + 4b = 71 ....... equation ii

Subtract equation ii from equation I

-3b = -42

b = 42/3

b = 14

Cost of large box = $14

We put the value of b into equation I

3a + b = $29

3a + $14 = $29

3a = $29 - $14

3a = $15

a = $15/3

a = $5

Cost of small box = $5

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