Question

A bag contains 89 toy balls. Some are big, others are small. Each small ball wights 2g, and each big ball weighs 5g. The total weight of the balls in the bag is 256g
a. write down two different equations that describe this statement
b. solve the resulting equations to find the number of each type of ball in the bag

Answer 1

Step-by-step explanation:

Let x be the no. of smaller toys and y be the no. of Bigger toys.

According to the first condition:

X + Y= 89. (1)

if each smaller ball weights 2g

therefore, 2x

if each bigger ball weights 5g

therefore, 5y

According to the second conditions

2x+5y=256. (2)

Multi. eq¹ by 2.

2x + 2y = 178. (3)

Subtracting (3) from (2)

therefore,

2x + 5y = 256

- 2x + 2y = 178

(-). (-)

_______________

3y = 78

$y = \frac{78}{3 }$

$y = 26$

Substitute the value of y in eq¹

therefore,

X + Y= 89

X+26= 89

X= 89- 26

$x = 63$

therefore, there are 63 Smaller toys and 26 Bigger toys

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