Question

Peter is making an army of monsters from clay. He can make 2 Mega-Monsters from 7 ounces of clay or 2 Mini-Monsters from 3 ounces of clay. What amount of clay does he need to build an army with 15 Mega-Monsters and 25 mini-Monsters?

Answer 1

Pater needs 90 ounces of clay to build an army.

Explanation:

Given that:

2 Mega Monster are created from 7 ounces of clay

Unit rate =
`(7)/(2)` = 3.5 ounces per Mega Monster

2 Mini Monsters are created from 3 ounces of clay

Unit rate =
`(3)/(2)` = 1.5 ounces per Mini Monster

Total amount = Unit rate per Mega Monster * 15 + Unit rate per Mini Monster * 25

Total amount of clay = 3.5 * 15 + 1.5 * 25 = 52.5 + 37.5 = 90 ounces of clay

Hence,

Pater needs 90 ounces of clay to build an army.