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A store sold 40 more basketballs than soccer balls last month.
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They sold a soccer ball for $33 and a basketball for $18.
• The store sold $4,800 worth of soccer and basketballs last month.
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What was the total number of basketballs and soccer balls the store sold last month?
(Show work)

Respuesta :

semsee45

Answer:

soccer balls = 80

basketballs = 120

Step-by-step explanation:

let S = number of soccer balls sold

let B = number of basketballs sold

If the store sold 40 more basketballs than soccer balls, then

B = S + 40

If the store sold $4800 worth of soccer and basketballs last month at a cost of $33 for a soccer ball and $18 for a basketball, then:

33S + 18B = 4800

Substitute the first equation B = S + 40 into the second equation and solve for S:

33S + 18(S + 40) = 4800

33S + 18S + 720 = 4800

51S + 720 = 4800

51S = 4080

S = 80

Substitute S = 80 into B = S + 40 to find B:

B = 80 + 40 = 120

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