At a farmer’s market, a basket of strawberries costs $20 and a basket of peaches costs $18. On Saturday, $430 worth of strawberries and peaches were sold, and a total of 23 baskets were sold. If x represents baskets of strawberries and y represents baskets of peaches, how many baskets of peaches were sold on Saturday?

Respuesta :

18x15=270
20x8=160
270+160=430

15 baskets of peaches were sold

Answer:

The number of basket of strawberries are 8 and number of basket of peaches are 15.

Step-by-step explanation:

As given

x =  represents baskets of strawberries .

y =  represents baskets of peaches .

As given

At a farmer’s market, a basket of strawberries costs $20 and a basket of peaches costs $18.

On Saturday, $430 worth of strawberries and peaches were sold, and a total of 23 baskets were sold.

Than the equations becomes

x + y  = 23

20x + 18y = 430

Multiply  x + y  = 23 by 20 and subtracted from 20x + 18y = 430.

20x - 20x + 18y - 20y = 430 - 460

-2y = -30

2y = 30

[tex]y = \frac{30}{2}[/tex]

y = 15

Put y = 15 in the equation  x + y  = 23

x + 15 = 23

x = 23 - 15

x = 8

Therefore the number of basket of strawberries are 8 and number of basket of peaches are 15.