Dhanraj spent $204.20 purchasing volleyballs and basketballs.
He bought 3 more basketballs than volleyballs. If each volleyball cost $8.20 and each basketball cost $12.60, how many of each type did he buy?

Respuesta :

Answer:

Number of volleyballs bought = 8

Number of basketballs bought = 11

Step-by-step explanation:

Given that:

Total amount spent = $204.20

Let,

x be the number of volleyballs

y be the number of basketballs

According to given statement;

y = x+3 ┬а ┬а Eqn 1

8.20x+12.60y=204.20 ┬а ┬а Eqn 2

Putting value of y from Eqn 1 in Eqn 2

8.20x + 12.60(x+3) = 204.20

8.20x + 12.60x + 37.80 = 204.20

20.80x = 204.20 - 37.80

20.80x = 166.40

Dividing both sides by 20.80

[tex]\frac{20.80x}{20.80}=\frac{166.40}{20.80}\\x=8[/tex]

Putting x=8 in Eqn 1

y = 8+3 = 11

Hence,

Number of volleyballs bought = 8

Number of basketballs bought = 11

Otras preguntas

рдкрд░рд┐рд╕рд░рд╛рддреАрд▓ рдЪреЛрд░-рджрд░реЛрдбреЗрдЦреЛрд░рд╛рдВрдЪрд╛ рдмрдВрджреЛрдмрд╕реНрдд рдХрд░рдгреНрдпрд╛рд╕рд╛рдареА рд░рд╛рддреНрд░реАрдЪреНрдпрд╛ рд╡реЗрд│реА рдкреЛрд▓рд┐рд╕рд╛рдВрдЪреА рдЧрд╕реНрдд рд╡рд╛рдврд╡рд╛рд╡реА, рдпрд╛рд╕рд╛рдареА рд╕реНрдерд╛рдирд┐рдХ рдкреЛрд▓реАрд╕ рдард╛рдгреНрдпрд╛рд▓рд╛ рд╡рд┐рдирдВрддреА рдкрддреНрд░ рд▓рд┐рд╣рд╛. рдХрд┐рдВрд╡рд╛ рдХрд┐рдВрд╡рд╛ рдкрд░рд┐рд╕рд░рд╛рдд рдЪреЛрд▒реНрдп