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

A bag contains 89 toy balls. Some are big, others are small. Each smal

1.	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» -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 2gtherefore, 2xif each bigger ball weights 5gtherefore, 5yAccording to the SECOND conditions2x+5y=256. (2)MULTI. eq¹ by 2.2x + 2y = 178. (3)Subtracting (3) from (2)therefore, 2x + 5y = 256 - 2x + 2y = 178 (-). (-)_______________ 3Y = 78 Substitute the value of y in eq¹ therefore,X + Y= 89X+26= 89X= 89- 26therefore, there are 63 Smaller toys and 26 Bigger toys