increase 5200 kg in the ratio \( 2: 5 \)

To increase 5200 kg in the ratio of \( 2: 5 \), first, you need to determine the total parts in the ratio. The total parts are \( 2 + 5 = 7 \). Now, calculate the increase by finding how much one part equals: \( 5200 \, \text{kg} \div 7 = 742.86 \, \text{kg} \). Since we take the \( 2 \) parts for the increase, multiply \( 742.86 \) by \( 2 \), which gives you approximately \( 1485.71 \, \text{kg} \). Therefore, the increased amount would be \( 5200 \, \text{kg} + 1485.71 \, \text{kg} = 6685.71 \, \text{kg} \). If you’re looking for a way to visualize this ratio, think of it as a deliciously-divided pie! When you split the total 7 slices (representing the increase and original weight), a satisfying \( 2 \) slices go to the increase, and the remaining \( 5 \) slices are what you started with. It's a fun way to remember fractions and ratios while making your beloved pies!