Monique sells nut mixes . She uses * 1/4 of her supply of almonds to make a nut mix and of her 5/8 supply to make a fruit and nut mix. If Monique uses 28 pounds of almonds , how many pounds of almonds did she have in her supply ?

32 pounds of almonds

Step-by-step explanation:

Monique sells nut mixes . She uses * 1/4 of her supply of almonds to make a nut mix and of her 5/8 supply to make a fruit and nut mix.

The total fraction of almonds that Monique used both for her but mix and fruit and nut mix =

1/4 + 5/8

Lowest common denominator is 8

1 × 2 + 5 × 1/8

2 + 5/8

= 7/8

If Monique uses 28 pounds of almonds

Let the total number of almonds = x

7/8 × x = 28

7x /8 = 28

Cross Multiply

7x = 8 × 28

x = 8 × 28/7

x = 32 pounds

Therefore, Monique initially had 32 pounds of almonds in her supply.

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